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Finding the Fourth Proportional to 22,562.19, 31,136.33 and 12,354.19

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Solution

The fourth proportional to 22,562.19, 31,136.33 and 12,354.19 is: 17,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.19 : 31,136.33 = 12,354.19 : x
  2. Step 2: Convert to fraction form
    22,562.19/31,136.33 = 12,354.19/x
  3. Step 3: Cross multiply
    22,562.19x = 31,136.33 × 12,354.19
  4. Step 4: Simplify right side
    22,562.19x = 384,663,997.11
  5. Step 5: Solve for x
    x = 384,663,997.11/22,562.19
  6. Step 6: Final answer
    x = 17,049.05

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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.