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Finding the Fourth Proportional to 13,543.68, 18,690.68 and 7,575.22

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Solution

The fourth proportional to 13,543.68, 18,690.68 and 7,575.22 is: 10,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.68 : 18,690.68 = 7,575.22 : x
  2. Step 2: Convert to fraction form
    13,543.68/18,690.68 = 7,575.22/x
  3. Step 3: Cross multiply
    13,543.68x = 18,690.68 × 7,575.22
  4. Step 4: Simplify right side
    13,543.68x = 141,586,012.95
  5. Step 5: Solve for x
    x = 141,586,012.95/13,543.68
  6. Step 6: Final answer
    x = 10,454.03

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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.