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Finding the Fourth Proportional to 13,420.31, 20,157.30 and 8,094.14

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Solution

The fourth proportional to 13,420.31, 20,157.30 and 8,094.14 is: 12,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.31 : 20,157.30 = 8,094.14 : x
  2. Step 2: Convert to fraction form
    13,420.31/20,157.30 = 8,094.14/x
  3. Step 3: Cross multiply
    13,420.31x = 20,157.30 × 8,094.14
  4. Step 4: Simplify right side
    13,420.31x = 163,156,008.22
  5. Step 5: Solve for x
    x = 163,156,008.22/13,420.31
  6. Step 6: Final answer
    x = 12,157.39

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