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Finding the Fourth Proportional to 16,017.34, 24,029.39 and 6,022.15

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Solution

The fourth proportional to 16,017.34, 24,029.39 and 6,022.15 is: 9,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.34 : 24,029.39 = 6,022.15 : x
  2. Step 2: Convert to fraction form
    16,017.34/24,029.39 = 6,022.15/x
  3. Step 3: Cross multiply
    16,017.34x = 24,029.39 × 6,022.15
  4. Step 4: Simplify right side
    16,017.34x = 144,708,560.88
  5. Step 5: Solve for x
    x = 144,708,560.88/16,017.34
  6. Step 6: Final answer
    x = 9,034.49

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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.