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Finding the Fourth Proportional to 13,543.98, 18,691.19 and 7,575.63

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Solution

The fourth proportional to 13,543.98, 18,691.19 and 7,575.63 is: 10,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.98 : 18,691.19 = 7,575.63 : x
  2. Step 2: Convert to fraction form
    13,543.98/18,691.19 = 7,575.63/x
  3. Step 3: Cross multiply
    13,543.98x = 18,691.19 × 7,575.63
  4. Step 4: Simplify right side
    13,543.98x = 141,597,501.82
  5. Step 5: Solve for x
    x = 141,597,501.82/13,543.98
  6. Step 6: Final answer
    x = 10,454.64

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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.