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Finding the Fourth Proportional to 22,754.26, 31,401.24 and 12,545.74

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Solution

The fourth proportional to 22,754.26, 31,401.24 and 12,545.74 is: 17,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.26 : 31,401.24 = 12,545.74 : x
  2. Step 2: Convert to fraction form
    22,754.26/31,401.24 = 12,545.74/x
  3. Step 3: Cross multiply
    22,754.26x = 31,401.24 × 12,545.74
  4. Step 4: Simplify right side
    22,754.26x = 393,951,792.72
  5. Step 5: Solve for x
    x = 393,951,792.72/22,754.26
  6. Step 6: Final answer
    x = 17,313.32

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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.