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Finding the Fourth Proportional to 22,631.52, 31,231.20 and 12,560

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Solution

The fourth proportional to 22,631.52, 31,231.20 and 12,560 is: 17,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.52 : 31,231.20 = 12,560 : x
  2. Step 2: Convert to fraction form
    22,631.52/31,231.20 = 12,560/x
  3. Step 3: Cross multiply
    22,631.52x = 31,231.20 × 12,560
  4. Step 4: Simplify right side
    22,631.52x = 392,263,872
  5. Step 5: Solve for x
    x = 392,263,872/22,631.52
  6. Step 6: Final answer
    x = 17,332.63

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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.