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Finding the Fourth Proportional to 12,493.76, 17,221.32 and 8,459.30

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Solution

The fourth proportional to 12,493.76, 17,221.32 and 8,459.30 is: 11,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.76 : 17,221.32 = 8,459.30 : x
  2. Step 2: Convert to fraction form
    12,493.76/17,221.32 = 8,459.30/x
  3. Step 3: Cross multiply
    12,493.76x = 17,221.32 × 8,459.30
  4. Step 4: Simplify right side
    12,493.76x = 145,680,226.17
  5. Step 5: Solve for x
    x = 145,680,226.17/12,493.76
  6. Step 6: Final answer
    x = 11,660.24

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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.