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Finding the Fourth Proportional to 23,398.68, 32,290.10 and 12,788.31

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Solution

The fourth proportional to 23,398.68, 32,290.10 and 12,788.31 is: 17,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.68 : 32,290.10 = 12,788.31 : x
  2. Step 2: Convert to fraction form
    23,398.68/32,290.10 = 12,788.31/x
  3. Step 3: Cross multiply
    23,398.68x = 32,290.10 × 12,788.31
  4. Step 4: Simplify right side
    23,398.68x = 412,935,808.73
  5. Step 5: Solve for x
    x = 412,935,808.73/23,398.68
  6. Step 6: Final answer
    x = 17,647.82

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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.