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Finding the Fourth Proportional to 15,411.80, 23,006.21 and 13,543.47

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Solution

The fourth proportional to 15,411.80, 23,006.21 and 13,543.47 is: 20,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.80 : 23,006.21 = 13,543.47 : x
  2. Step 2: Convert to fraction form
    15,411.80/23,006.21 = 13,543.47/x
  3. Step 3: Cross multiply
    15,411.80x = 23,006.21 × 13,543.47
  4. Step 4: Simplify right side
    15,411.80x = 311,583,847.23
  5. Step 5: Solve for x
    x = 311,583,847.23/15,411.80
  6. Step 6: Final answer
    x = 20,217.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.