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Finding the Fourth Proportional to 17,728.96, 26,592.48 and 5,416

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Solution

The fourth proportional to 17,728.96, 26,592.48 and 5,416 is: 8,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.96 : 26,592.48 = 5,416 : x
  2. Step 2: Convert to fraction form
    17,728.96/26,592.48 = 5,416/x
  3. Step 3: Cross multiply
    17,728.96x = 26,592.48 × 5,416
  4. Step 4: Simplify right side
    17,728.96x = 144,024,871.68
  5. Step 5: Solve for x
    x = 144,024,871.68/17,728.96
  6. Step 6: Final answer
    x = 8,123.71

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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.