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Finding the Fourth Proportional to 22,607.57, 31,196.92 and 12,535.64

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Solution

The fourth proportional to 22,607.57, 31,196.92 and 12,535.64 is: 17,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.57 : 31,196.92 = 12,535.64 : x
  2. Step 2: Convert to fraction form
    22,607.57/31,196.92 = 12,535.64/x
  3. Step 3: Cross multiply
    22,607.57x = 31,196.92 × 12,535.64
  4. Step 4: Simplify right side
    22,607.57x = 391,073,170.91
  5. Step 5: Solve for x
    x = 391,073,170.91/22,607.57
  6. Step 6: Final answer
    x = 17,298.33

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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.