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Finding the Fourth Proportional to 22,632.71, 31,232.67 and 12,560.57

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Solution

The fourth proportional to 22,632.71, 31,232.67 and 12,560.57 is: 17,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.71 : 31,232.67 = 12,560.57 : x
  2. Step 2: Convert to fraction form
    22,632.71/31,232.67 = 12,560.57/x
  3. Step 3: Cross multiply
    22,632.71x = 31,232.67 × 12,560.57
  4. Step 4: Simplify right side
    22,632.71x = 392,299,981.66
  5. Step 5: Solve for x
    x = 392,299,981.66/22,632.71
  6. Step 6: Final answer
    x = 17,333.32

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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.