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Finding the Fourth Proportional to 20,172.10, 30,254.10 and 9,642.10

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Solution

The fourth proportional to 20,172.10, 30,254.10 and 9,642.10 is: 14,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.10 : 30,254.10 = 9,642.10 : x
  2. Step 2: Convert to fraction form
    20,172.10/30,254.10 = 9,642.10/x
  3. Step 3: Cross multiply
    20,172.10x = 30,254.10 × 9,642.10
  4. Step 4: Simplify right side
    20,172.10x = 291,713,057.61
  5. Step 5: Solve for x
    x = 291,713,057.61/20,172.10
  6. Step 6: Final answer
    x = 14,461.21

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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.