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Finding the Fourth Proportional to 16,019.58, 24,034.52 and 7,700.20

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Solution

The fourth proportional to 16,019.58, 24,034.52 and 7,700.20 is: 11,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.58 : 24,034.52 = 7,700.20 : x
  2. Step 2: Convert to fraction form
    16,019.58/24,034.52 = 7,700.20/x
  3. Step 3: Cross multiply
    16,019.58x = 24,034.52 × 7,700.20
  4. Step 4: Simplify right side
    16,019.58x = 185,070,610.90
  5. Step 5: Solve for x
    x = 185,070,610.90/16,019.58
  6. Step 6: Final answer
    x = 11,552.78

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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.