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Finding the Fourth Proportional to 22,838.68, 31,516.86 and 13,408.12

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Solution

The fourth proportional to 22,838.68, 31,516.86 and 13,408.12 is: 18,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.68 : 31,516.86 = 13,408.12 : x
  2. Step 2: Convert to fraction form
    22,838.68/31,516.86 = 13,408.12/x
  3. Step 3: Cross multiply
    22,838.68x = 31,516.86 × 13,408.12
  4. Step 4: Simplify right side
    22,838.68x = 422,581,840.90
  5. Step 5: Solve for x
    x = 422,581,840.90/22,838.68
  6. Step 6: Final answer
    x = 18,502.90

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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.