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Finding the Fourth Proportional to 15,177.67, 22,752.64 and 5,311.57

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Solution

The fourth proportional to 15,177.67, 22,752.64 and 5,311.57 is: 7,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.67 : 22,752.64 = 5,311.57 : x
  2. Step 2: Convert to fraction form
    15,177.67/22,752.64 = 5,311.57/x
  3. Step 3: Cross multiply
    15,177.67x = 22,752.64 × 5,311.57
  4. Step 4: Simplify right side
    15,177.67x = 120,852,240.04
  5. Step 5: Solve for x
    x = 120,852,240.04/15,177.67
  6. Step 6: Final answer
    x = 7,962.50

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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.