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Finding the Fourth Proportional to 13,543.57, 18,691.09 and 7,575.80

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Solution

The fourth proportional to 13,543.57, 18,691.09 and 7,575.80 is: 10,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.57 : 18,691.09 = 7,575.80 : x
  2. Step 2: Convert to fraction form
    13,543.57/18,691.09 = 7,575.80/x
  3. Step 3: Cross multiply
    13,543.57x = 18,691.09 × 7,575.80
  4. Step 4: Simplify right side
    13,543.57x = 141,599,959.62
  5. Step 5: Solve for x
    x = 141,599,959.62/13,543.57
  6. Step 6: Final answer
    x = 10,455.14

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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.