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Finding the Fourth Proportional to 19,781.70, 29,680.35 and 14,543.04

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Solution

The fourth proportional to 19,781.70, 29,680.35 and 14,543.04 is: 21,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.70 : 29,680.35 = 14,543.04 : x
  2. Step 2: Convert to fraction form
    19,781.70/29,680.35 = 14,543.04/x
  3. Step 3: Cross multiply
    19,781.70x = 29,680.35 × 14,543.04
  4. Step 4: Simplify right side
    19,781.70x = 431,642,517.26
  5. Step 5: Solve for x
    x = 431,642,517.26/19,781.70
  6. Step 6: Final answer
    x = 21,820.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.