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Finding the Fourth Proportional to 19,870.20, 29,777.28 and 15,691.80

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Solution

The fourth proportional to 19,870.20, 29,777.28 and 15,691.80 is: 23,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.20 : 29,777.28 = 15,691.80 : x
  2. Step 2: Convert to fraction form
    19,870.20/29,777.28 = 15,691.80/x
  3. Step 3: Cross multiply
    19,870.20x = 29,777.28 × 15,691.80
  4. Step 4: Simplify right side
    19,870.20x = 467,259,122.30
  5. Step 5: Solve for x
    x = 467,259,122.30/19,870.20
  6. Step 6: Final answer
    x = 23,515.57

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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.