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Finding the Fourth Proportional to 23,005.78, 31,746.18 and 12,932.30

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Solution

The fourth proportional to 23,005.78, 31,746.18 and 12,932.30 is: 17,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.78 : 31,746.18 = 12,932.30 : x
  2. Step 2: Convert to fraction form
    23,005.78/31,746.18 = 12,932.30/x
  3. Step 3: Cross multiply
    23,005.78x = 31,746.18 × 12,932.30
  4. Step 4: Simplify right side
    23,005.78x = 410,551,123.61
  5. Step 5: Solve for x
    x = 410,551,123.61/23,005.78
  6. Step 6: Final answer
    x = 17,845.56

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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.