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Finding the Fourth Proportional to 25,751.52, 38,627.28 and 17,829.32

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Solution

The fourth proportional to 25,751.52, 38,627.28 and 17,829.32 is: 26,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.52 : 38,627.28 = 17,829.32 : x
  2. Step 2: Convert to fraction form
    25,751.52/38,627.28 = 17,829.32/x
  3. Step 3: Cross multiply
    25,751.52x = 38,627.28 × 17,829.32
  4. Step 4: Simplify right side
    25,751.52x = 688,697,942.71
  5. Step 5: Solve for x
    x = 688,697,942.71/25,751.52
  6. Step 6: Final answer
    x = 26,743.97

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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.