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Finding the Fourth Proportional to 15,417.76, 23,132.78 and 9,180.70

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Solution

The fourth proportional to 15,417.76, 23,132.78 and 9,180.70 is: 13,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417.76 : 23,132.78 = 9,180.70 : x
  2. Step 2: Convert to fraction form
    15,417.76/23,132.78 = 9,180.70/x
  3. Step 3: Cross multiply
    15,417.76x = 23,132.78 × 9,180.70
  4. Step 4: Simplify right side
    15,417.76x = 212,375,113.35
  5. Step 5: Solve for x
    x = 212,375,113.35/15,417.76
  6. Step 6: Final answer
    x = 13,774.71

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1.5x scale

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.