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Finding the Fourth Proportional to 25,829.69, 38,743.14 and 8,298.14

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Solution

The fourth proportional to 25,829.69, 38,743.14 and 8,298.14 is: 12,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.69 : 38,743.14 = 8,298.14 : x
  2. Step 2: Convert to fraction form
    25,829.69/38,743.14 = 8,298.14/x
  3. Step 3: Cross multiply
    25,829.69x = 38,743.14 × 8,298.14
  4. Step 4: Simplify right side
    25,829.69x = 321,495,806.04
  5. Step 5: Solve for x
    x = 321,495,806.04/25,829.69
  6. Step 6: Final answer
    x = 12,446.76

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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.