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Finding the Fourth Proportional to 15,377.52, 23,067.12 and 4,284.20

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Solution

The fourth proportional to 15,377.52, 23,067.12 and 4,284.20 is: 6,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,377.52 : 23,067.12 = 4,284.20 : x
  2. Step 2: Convert to fraction form
    15,377.52/23,067.12 = 4,284.20/x
  3. Step 3: Cross multiply
    15,377.52x = 23,067.12 × 4,284.20
  4. Step 4: Simplify right side
    15,377.52x = 98,824,155.50
  5. Step 5: Solve for x
    x = 98,824,155.50/15,377.52
  6. Step 6: Final answer
    x = 6,426.53

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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.