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Finding the Fourth Proportional to 13,280.25, 18,327.62 and 7,691.25

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Solution

The fourth proportional to 13,280.25, 18,327.62 and 7,691.25 is: 10,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.25 : 18,327.62 = 7,691.25 : x
  2. Step 2: Convert to fraction form
    13,280.25/18,327.62 = 7,691.25/x
  3. Step 3: Cross multiply
    13,280.25x = 18,327.62 × 7,691.25
  4. Step 4: Simplify right side
    13,280.25x = 140,962,307.33
  5. Step 5: Solve for x
    x = 140,962,307.33/13,280.25
  6. Step 6: Final answer
    x = 10,614.43

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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.