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Finding the Fourth Proportional to 22,473.92, 31,013.76 and 12,402.44

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Solution

The fourth proportional to 22,473.92, 31,013.76 and 12,402.44 is: 17,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.92 : 31,013.76 = 12,402.44 : x
  2. Step 2: Convert to fraction form
    22,473.92/31,013.76 = 12,402.44/x
  3. Step 3: Cross multiply
    22,473.92x = 31,013.76 × 12,402.44
  4. Step 4: Simplify right side
    22,473.92x = 384,646,297.57
  5. Step 5: Solve for x
    x = 384,646,297.57/22,473.92
  6. Step 6: Final answer
    x = 17,115.23

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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.