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Finding the Fourth Proportional to 21,503.10, 32,254.65 and 16,254.30

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Solution

The fourth proportional to 21,503.10, 32,254.65 and 16,254.30 is: 24,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.10 : 32,254.65 = 16,254.30 : x
  2. Step 2: Convert to fraction form
    21,503.10/32,254.65 = 16,254.30/x
  3. Step 3: Cross multiply
    21,503.10x = 32,254.65 × 16,254.30
  4. Step 4: Simplify right side
    21,503.10x = 524,276,757.50
  5. Step 5: Solve for x
    x = 524,276,757.50/21,503.10
  6. Step 6: Final answer
    x = 24,381.45

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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.