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Finding the Fourth Proportional to 25,734.30, 38,649 and 15,409.50

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Solution

The fourth proportional to 25,734.30, 38,649 and 15,409.50 is: 23,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.30 : 38,649 = 15,409.50 : x
  2. Step 2: Convert to fraction form
    25,734.30/38,649 = 15,409.50/x
  3. Step 3: Cross multiply
    25,734.30x = 38,649 × 15,409.50
  4. Step 4: Simplify right side
    25,734.30x = 595,561,765.50
  5. Step 5: Solve for x
    x = 595,561,765.50/25,734.30
  6. Step 6: Final answer
    x = 23,142.72

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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.