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Finding the Fourth Proportional to 12,398.90, 18,591.51 and 6,460.96

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Solution

The fourth proportional to 12,398.90, 18,591.51 and 6,460.96 is: 9,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.90 : 18,591.51 = 6,460.96 : x
  2. Step 2: Convert to fraction form
    12,398.90/18,591.51 = 6,460.96/x
  3. Step 3: Cross multiply
    12,398.90x = 18,591.51 × 6,460.96
  4. Step 4: Simplify right side
    12,398.90x = 120,119,031.00
  5. Step 5: Solve for x
    x = 120,119,031.00/12,398.90
  6. Step 6: Final answer
    x = 9,687.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.