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Finding the Fourth Proportional to 25,830.64, 38,742.28 and 8,298.20

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Solution

The fourth proportional to 25,830.64, 38,742.28 and 8,298.20 is: 12,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.64 : 38,742.28 = 8,298.20 : x
  2. Step 2: Convert to fraction form
    25,830.64/38,742.28 = 8,298.20/x
  3. Step 3: Cross multiply
    25,830.64x = 38,742.28 × 8,298.20
  4. Step 4: Simplify right side
    25,830.64x = 321,491,187.90
  5. Step 5: Solve for x
    x = 321,491,187.90/25,830.64
  6. Step 6: Final answer
    x = 12,446.12

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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.