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Finding the Fourth Proportional to 13,002.32, 17,947.86 and 7,697.18

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Solution

The fourth proportional to 13,002.32, 17,947.86 and 7,697.18 is: 10,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.32 : 17,947.86 = 7,697.18 : x
  2. Step 2: Convert to fraction form
    13,002.32/17,947.86 = 7,697.18/x
  3. Step 3: Cross multiply
    13,002.32x = 17,947.86 × 7,697.18
  4. Step 4: Simplify right side
    13,002.32x = 138,147,909.03
  5. Step 5: Solve for x
    x = 138,147,909.03/13,002.32
  6. Step 6: Final answer
    x = 10,624.87

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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.