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Finding the Fourth Proportional to 22,632.96, 31,233.02 and 12,560.82

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Solution

The fourth proportional to 22,632.96, 31,233.02 and 12,560.82 is: 17,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.96 : 31,233.02 = 12,560.82 : x
  2. Step 2: Convert to fraction form
    22,632.96/31,233.02 = 12,560.82/x
  3. Step 3: Cross multiply
    22,632.96x = 31,233.02 × 12,560.82
  4. Step 4: Simplify right side
    22,632.96x = 392,312,123.31
  5. Step 5: Solve for x
    x = 392,312,123.31/22,632.96
  6. Step 6: Final answer
    x = 17,333.66

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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.