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Finding the Fourth Proportional to 16,439.68, 24,659.70 and 4,753

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Solution

The fourth proportional to 16,439.68, 24,659.70 and 4,753 is: 7,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.68 : 24,659.70 = 4,753 : x
  2. Step 2: Convert to fraction form
    16,439.68/24,659.70 = 4,753/x
  3. Step 3: Cross multiply
    16,439.68x = 24,659.70 × 4,753
  4. Step 4: Simplify right side
    16,439.68x = 117,207,554.10
  5. Step 5: Solve for x
    x = 117,207,554.10/16,439.68
  6. Step 6: Final answer
    x = 7,129.55

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Why These Related Problems?

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