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Finding the Fourth Proportional to 12,427.64, 17,149.90 and 6,838.52

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Solution

The fourth proportional to 12,427.64, 17,149.90 and 6,838.52 is: 9,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.64 : 17,149.90 = 6,838.52 : x
  2. Step 2: Convert to fraction form
    12,427.64/17,149.90 = 6,838.52/x
  3. Step 3: Cross multiply
    12,427.64x = 17,149.90 × 6,838.52
  4. Step 4: Simplify right side
    12,427.64x = 117,279,934.15
  5. Step 5: Solve for x
    x = 117,279,934.15/12,427.64
  6. Step 6: Final answer
    x = 9,437.02

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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.