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Finding the Fourth Proportional to 13,543.65, 18,690.36 and 7,494.78

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Solution

The fourth proportional to 13,543.65, 18,690.36 and 7,494.78 is: 10,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.65 : 18,690.36 = 7,494.78 : x
  2. Step 2: Convert to fraction form
    13,543.65/18,690.36 = 7,494.78/x
  3. Step 3: Cross multiply
    13,543.65x = 18,690.36 × 7,494.78
  4. Step 4: Simplify right side
    13,543.65x = 140,080,136.32
  5. Step 5: Solve for x
    x = 140,080,136.32/13,543.65
  6. Step 6: Final answer
    x = 10,342.86

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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.