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Finding the Fourth Proportional to 17,281.68, 25,916 and 5,591.76

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Solution

The fourth proportional to 17,281.68, 25,916 and 5,591.76 is: 8,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.68 : 25,916 = 5,591.76 : x
  2. Step 2: Convert to fraction form
    17,281.68/25,916 = 5,591.76/x
  3. Step 3: Cross multiply
    17,281.68x = 25,916 × 5,591.76
  4. Step 4: Simplify right side
    17,281.68x = 144,916,052.16
  5. Step 5: Solve for x
    x = 144,916,052.16/17,281.68
  6. Step 6: Final answer
    x = 8,385.53

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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.