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Finding the Fourth Proportional to 12,715.23, 17,546.31 and 7,049.65

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Solution

The fourth proportional to 12,715.23, 17,546.31 and 7,049.65 is: 9,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.23 : 17,546.31 = 7,049.65 : x
  2. Step 2: Convert to fraction form
    12,715.23/17,546.31 = 7,049.65/x
  3. Step 3: Cross multiply
    12,715.23x = 17,546.31 × 7,049.65
  4. Step 4: Simplify right side
    12,715.23x = 123,695,280.74
  5. Step 5: Solve for x
    x = 123,695,280.74/12,715.23
  6. Step 6: Final answer
    x = 9,728.12

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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.