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Finding the Fourth Proportional to 23,488.47, 32,412.85 and 13,414.93

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Solution

The fourth proportional to 23,488.47, 32,412.85 and 13,414.93 is: 18,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.47 : 32,412.85 = 13,414.93 : x
  2. Step 2: Convert to fraction form
    23,488.47/32,412.85 = 13,414.93/x
  3. Step 3: Cross multiply
    23,488.47x = 32,412.85 × 13,414.93
  4. Step 4: Simplify right side
    23,488.47x = 434,816,113.85
  5. Step 5: Solve for x
    x = 434,816,113.85/23,488.47
  6. Step 6: Final answer
    x = 18,511.90

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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.