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Finding the Fourth Proportional to 12,647.61, 17,453.75 and 7,342.65

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Solution

The fourth proportional to 12,647.61, 17,453.75 and 7,342.65 is: 10,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.61 : 17,453.75 = 7,342.65 : x
  2. Step 2: Convert to fraction form
    12,647.61/17,453.75 = 7,342.65/x
  3. Step 3: Cross multiply
    12,647.61x = 17,453.75 × 7,342.65
  4. Step 4: Simplify right side
    12,647.61x = 128,156,740.72
  5. Step 5: Solve for x
    x = 128,156,740.72/12,647.61
  6. Step 6: Final answer
    x = 10,132.88

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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.