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Finding the Fourth Proportional to 12,490.86, 17,237.17 and 6,825.47

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Solution

The fourth proportional to 12,490.86, 17,237.17 and 6,825.47 is: 9,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.86 : 17,237.17 = 6,825.47 : x
  2. Step 2: Convert to fraction form
    12,490.86/17,237.17 = 6,825.47/x
  3. Step 3: Cross multiply
    12,490.86x = 17,237.17 × 6,825.47
  4. Step 4: Simplify right side
    12,490.86x = 117,651,700.53
  5. Step 5: Solve for x
    x = 117,651,700.53/12,490.86
  6. Step 6: Final answer
    x = 9,419.02

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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.