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Finding the Fourth Proportional to 28,276.52, 42,414.80 and 9,808.52

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Solution

The fourth proportional to 28,276.52, 42,414.80 and 9,808.52 is: 14,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,276.52 : 42,414.80 = 9,808.52 : x
  2. Step 2: Convert to fraction form
    28,276.52/42,414.80 = 9,808.52/x
  3. Step 3: Cross multiply
    28,276.52x = 42,414.80 × 9,808.52
  4. Step 4: Simplify right side
    28,276.52x = 416,026,414.10
  5. Step 5: Solve for x
    x = 416,026,414.10/28,276.52
  6. Step 6: Final answer
    x = 14,712.79

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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.