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Finding the Fourth Proportional to 25,823.71, 38,730.90 and 7,101.32

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Solution

The fourth proportional to 25,823.71, 38,730.90 and 7,101.32 is: 10,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.71 : 38,730.90 = 7,101.32 : x
  2. Step 2: Convert to fraction form
    25,823.71/38,730.90 = 7,101.32/x
  3. Step 3: Cross multiply
    25,823.71x = 38,730.90 × 7,101.32
  4. Step 4: Simplify right side
    25,823.71x = 275,040,321.13
  5. Step 5: Solve for x
    x = 275,040,321.13/25,823.71
  6. Step 6: Final answer
    x = 10,650.69

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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.