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Finding the Fourth Proportional to 16,337.70, 24,507.48 and 4,650

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Solution

The fourth proportional to 16,337.70, 24,507.48 and 4,650 is: 6,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.70 : 24,507.48 = 4,650 : x
  2. Step 2: Convert to fraction form
    16,337.70/24,507.48 = 4,650/x
  3. Step 3: Cross multiply
    16,337.70x = 24,507.48 × 4,650
  4. Step 4: Simplify right side
    16,337.70x = 113,959,782
  5. Step 5: Solve for x
    x = 113,959,782/16,337.70
  6. Step 6: Final answer
    x = 6,975.26

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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.