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Finding the Fourth Proportional to 22,705.35, 31,332.89 and 13,145.64

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Solution

The fourth proportional to 22,705.35, 31,332.89 and 13,145.64 is: 18,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.35 : 31,332.89 = 13,145.64 : x
  2. Step 2: Convert to fraction form
    22,705.35/31,332.89 = 13,145.64/x
  3. Step 3: Cross multiply
    22,705.35x = 31,332.89 × 13,145.64
  4. Step 4: Simplify right side
    22,705.35x = 411,890,892.10
  5. Step 5: Solve for x
    x = 411,890,892.10/22,705.35
  6. Step 6: Final answer
    x = 18,140.70

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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.