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Finding the Fourth Proportional to 23,789.52, 32,830.28 and 13,178.92

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Solution

The fourth proportional to 23,789.52, 32,830.28 and 13,178.92 is: 18,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.52 : 32,830.28 = 13,178.92 : x
  2. Step 2: Convert to fraction form
    23,789.52/32,830.28 = 13,178.92/x
  3. Step 3: Cross multiply
    23,789.52x = 32,830.28 × 13,178.92
  4. Step 4: Simplify right side
    23,789.52x = 432,667,633.70
  5. Step 5: Solve for x
    x = 432,667,633.70/23,789.52
  6. Step 6: Final answer
    x = 18,187.32

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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.