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Finding the Fourth Proportional to 22,406.10, 30,948.12 and 16,428.30

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Solution

The fourth proportional to 22,406.10, 30,948.12 and 16,428.30 is: 22,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.10 : 30,948.12 = 16,428.30 : x
  2. Step 2: Convert to fraction form
    22,406.10/30,948.12 = 16,428.30/x
  3. Step 3: Cross multiply
    22,406.10x = 30,948.12 × 16,428.30
  4. Step 4: Simplify right side
    22,406.10x = 508,424,999.80
  5. Step 5: Solve for x
    x = 508,424,999.80/22,406.10
  6. Step 6: Final answer
    x = 22,691.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.