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Finding the Fourth Proportional to 23,508.70, 32,442 and 12,898.36

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Solution

The fourth proportional to 23,508.70, 32,442 and 12,898.36 is: 17,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.70 : 32,442 = 12,898.36 : x
  2. Step 2: Convert to fraction form
    23,508.70/32,442 = 12,898.36/x
  3. Step 3: Cross multiply
    23,508.70x = 32,442 × 12,898.36
  4. Step 4: Simplify right side
    23,508.70x = 418,448,595.12
  5. Step 5: Solve for x
    x = 418,448,595.12/23,508.70
  6. Step 6: Final answer
    x = 17,799.73

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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.