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Finding the Fourth Proportional to 12,656.98, 18,987.49 and 6,414.46

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Solution

The fourth proportional to 12,656.98, 18,987.49 and 6,414.46 is: 9,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.98 : 18,987.49 = 6,414.46 : x
  2. Step 2: Convert to fraction form
    12,656.98/18,987.49 = 6,414.46/x
  3. Step 3: Cross multiply
    12,656.98x = 18,987.49 × 6,414.46
  4. Step 4: Simplify right side
    12,656.98x = 121,794,437.61
  5. Step 5: Solve for x
    x = 121,794,437.61/12,656.98
  6. Step 6: Final answer
    x = 9,622.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.