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Finding the Fourth Proportional to 16,001.70, 24,002.69 and 6,138.64

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Solution

The fourth proportional to 16,001.70, 24,002.69 and 6,138.64 is: 9,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.70 : 24,002.69 = 6,138.64 : x
  2. Step 2: Convert to fraction form
    16,001.70/24,002.69 = 6,138.64/x
  3. Step 3: Cross multiply
    16,001.70x = 24,002.69 × 6,138.64
  4. Step 4: Simplify right side
    16,001.70x = 147,343,872.94
  5. Step 5: Solve for x
    x = 147,343,872.94/16,001.70
  6. Step 6: Final answer
    x = 9,208.01

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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.