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Finding the Fourth Proportional to 15,882.52, 23,826.22 and 4,787.74

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Solution

The fourth proportional to 15,882.52, 23,826.22 and 4,787.74 is: 7,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.52 : 23,826.22 = 4,787.74 : x
  2. Step 2: Convert to fraction form
    15,882.52/23,826.22 = 4,787.74/x
  3. Step 3: Cross multiply
    15,882.52x = 23,826.22 × 4,787.74
  4. Step 4: Simplify right side
    15,882.52x = 114,073,746.54
  5. Step 5: Solve for x
    x = 114,073,746.54/15,882.52
  6. Step 6: Final answer
    x = 7,182.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.