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Finding the Fourth Proportional to 23,854.92, 32,921.28 and 13,785.20

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Solution

The fourth proportional to 23,854.92, 32,921.28 and 13,785.20 is: 19,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.92 : 32,921.28 = 13,785.20 : x
  2. Step 2: Convert to fraction form
    23,854.92/32,921.28 = 13,785.20/x
  3. Step 3: Cross multiply
    23,854.92x = 32,921.28 × 13,785.20
  4. Step 4: Simplify right side
    23,854.92x = 453,826,511.36
  5. Step 5: Solve for x
    x = 453,826,511.36/23,854.92
  6. Step 6: Final answer
    x = 19,024.44

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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.