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Finding the Fourth Proportional to 23,508.20, 32,441.83 and 12,897.83

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Solution

The fourth proportional to 23,508.20, 32,441.83 and 12,897.83 is: 17,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.20 : 32,441.83 = 12,897.83 : x
  2. Step 2: Convert to fraction form
    23,508.20/32,441.83 = 12,897.83/x
  3. Step 3: Cross multiply
    23,508.20x = 32,441.83 × 12,897.83
  4. Step 4: Simplify right side
    23,508.20x = 418,429,257.09
  5. Step 5: Solve for x
    x = 418,429,257.09/23,508.20
  6. Step 6: Final answer
    x = 17,799.29

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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.