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Finding the Fourth Proportional to 12,765.32, 17,624.82 and 9,408.52

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Solution

The fourth proportional to 12,765.32, 17,624.82 and 9,408.52 is: 12,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.32 : 17,624.82 = 9,408.52 : x
  2. Step 2: Convert to fraction form
    12,765.32/17,624.82 = 9,408.52/x
  3. Step 3: Cross multiply
    12,765.32x = 17,624.82 × 9,408.52
  4. Step 4: Simplify right side
    12,765.32x = 165,823,471.47
  5. Step 5: Solve for x
    x = 165,823,471.47/12,765.32
  6. Step 6: Final answer
    x = 12,990.15

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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.