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Finding the Fourth Proportional to 22,502.57, 31,052.27 and 13,438.16

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Solution

The fourth proportional to 22,502.57, 31,052.27 and 13,438.16 is: 18,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.57 : 31,052.27 = 13,438.16 : x
  2. Step 2: Convert to fraction form
    22,502.57/31,052.27 = 13,438.16/x
  3. Step 3: Cross multiply
    22,502.57x = 31,052.27 × 13,438.16
  4. Step 4: Simplify right side
    22,502.57x = 417,285,383.06
  5. Step 5: Solve for x
    x = 417,285,383.06/22,502.57
  6. Step 6: Final answer
    x = 18,543.90

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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.