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Finding the Fourth Proportional to 13,257.25, 18,294.62 and 7,591.81

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Solution

The fourth proportional to 13,257.25, 18,294.62 and 7,591.81 is: 10,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.25 : 18,294.62 = 7,591.81 : x
  2. Step 2: Convert to fraction form
    13,257.25/18,294.62 = 7,591.81/x
  3. Step 3: Cross multiply
    13,257.25x = 18,294.62 × 7,591.81
  4. Step 4: Simplify right side
    13,257.25x = 138,889,241.10
  5. Step 5: Solve for x
    x = 138,889,241.10/13,257.25
  6. Step 6: Final answer
    x = 10,476.47

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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.