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Finding the Fourth Proportional to 12,403.76, 18,589.18 and 9,101.40

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Solution

The fourth proportional to 12,403.76, 18,589.18 and 9,101.40 is: 13,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.76 : 18,589.18 = 9,101.40 : x
  2. Step 2: Convert to fraction form
    12,403.76/18,589.18 = 9,101.40/x
  3. Step 3: Cross multiply
    12,403.76x = 18,589.18 × 9,101.40
  4. Step 4: Simplify right side
    12,403.76x = 169,187,562.85
  5. Step 5: Solve for x
    x = 169,187,562.85/12,403.76
  6. Step 6: Final answer
    x = 13,640.02

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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.