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Finding the Fourth Proportional to 13,034.66, 19,543.28 and 6,713.62

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Solution

The fourth proportional to 13,034.66, 19,543.28 and 6,713.62 is: 10,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.66 : 19,543.28 = 6,713.62 : x
  2. Step 2: Convert to fraction form
    13,034.66/19,543.28 = 6,713.62/x
  3. Step 3: Cross multiply
    13,034.66x = 19,543.28 × 6,713.62
  4. Step 4: Simplify right side
    13,034.66x = 131,206,073.05
  5. Step 5: Solve for x
    x = 131,206,073.05/13,034.66
  6. Step 6: Final answer
    x = 10,065.94

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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.