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Finding the Fourth Proportional to 15,366, 23,049 and 5,505.88

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Solution

The fourth proportional to 15,366, 23,049 and 5,505.88 is: 8,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,366 : 23,049 = 5,505.88 : x
  2. Step 2: Convert to fraction form
    15,366/23,049 = 5,505.88/x
  3. Step 3: Cross multiply
    15,366x = 23,049 × 5,505.88
  4. Step 4: Simplify right side
    15,366x = 126,905,028.12
  5. Step 5: Solve for x
    x = 126,905,028.12/15,366
  6. Step 6: Final answer
    x = 8,258.82

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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.