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Finding the Fourth Proportional to 10,652,031.40, 15,978,047.10 and 8,951,420.20

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Solution

The fourth proportional to 10,652,031.40, 15,978,047.10 and 8,951,420.20 is: 13,427,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652,031.40 : 15,978,047.10 = 8,951,420.20 : x
  2. Step 2: Convert to fraction form
    10,652,031.40/15,978,047.10 = 8,951,420.20/x
  3. Step 3: Cross multiply
    10,652,031.40x = 15,978,047.10 × 8,951,420.20
  4. Step 4: Simplify right side
    10,652,031.40x = 143,026,213,567,491.41
  5. Step 5: Solve for x
    x = 143,026,213,567,491.41/10,652,031.40
  6. Step 6: Final answer
    x = 13,427,130.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.