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Finding the Fourth Proportional to 12,693.83, 17,517.90 and 8,437.47

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Solution

The fourth proportional to 12,693.83, 17,517.90 and 8,437.47 is: 11,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.83 : 17,517.90 = 8,437.47 : x
  2. Step 2: Convert to fraction form
    12,693.83/17,517.90 = 8,437.47/x
  3. Step 3: Cross multiply
    12,693.83x = 17,517.90 × 8,437.47
  4. Step 4: Simplify right side
    12,693.83x = 147,806,755.71
  5. Step 5: Solve for x
    x = 147,806,755.71/12,693.83
  6. Step 6: Final answer
    x = 11,643.99

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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.