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Finding the Fourth Proportional to 25,481.68, 38,193.68 and 12,975.28

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Solution

The fourth proportional to 25,481.68, 38,193.68 and 12,975.28 is: 19,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481.68 : 38,193.68 = 12,975.28 : x
  2. Step 2: Convert to fraction form
    25,481.68/38,193.68 = 12,975.28/x
  3. Step 3: Cross multiply
    25,481.68x = 38,193.68 × 12,975.28
  4. Step 4: Simplify right side
    25,481.68x = 495,573,627.35
  5. Step 5: Solve for x
    x = 495,573,627.35/25,481.68
  6. Step 6: Final answer
    x = 19,448.24

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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.