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Finding the Fourth Proportional to 13,580.97, 18,741.42 and 7,531.18

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Solution

The fourth proportional to 13,580.97, 18,741.42 and 7,531.18 is: 10,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.97 : 18,741.42 = 7,531.18 : x
  2. Step 2: Convert to fraction form
    13,580.97/18,741.42 = 7,531.18/x
  3. Step 3: Cross multiply
    13,580.97x = 18,741.42 × 7,531.18
  4. Step 4: Simplify right side
    13,580.97x = 141,145,007.48
  5. Step 5: Solve for x
    x = 141,145,007.48/13,580.97
  6. Step 6: Final answer
    x = 10,392.85

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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.