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Finding the Fourth Proportional to 13,543.62, 18,689.63 and 7,878.53

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Solution

The fourth proportional to 13,543.62, 18,689.63 and 7,878.53 is: 10,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.62 : 18,689.63 = 7,878.53 : x
  2. Step 2: Convert to fraction form
    13,543.62/18,689.63 = 7,878.53/x
  3. Step 3: Cross multiply
    13,543.62x = 18,689.63 × 7,878.53
  4. Step 4: Simplify right side
    13,543.62x = 147,246,810.64
  5. Step 5: Solve for x
    x = 147,246,810.64/13,543.62
  6. Step 6: Final answer
    x = 10,872.04

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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.