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Finding the Fourth Proportional to 25,793.40, 38,696.58 and 10,209

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Solution

The fourth proportional to 25,793.40, 38,696.58 and 10,209 is: 15,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.40 : 38,696.58 = 10,209 : x
  2. Step 2: Convert to fraction form
    25,793.40/38,696.58 = 10,209/x
  3. Step 3: Cross multiply
    25,793.40x = 38,696.58 × 10,209
  4. Step 4: Simplify right side
    25,793.40x = 395,053,385.22
  5. Step 5: Solve for x
    x = 395,053,385.22/25,793.40
  6. Step 6: Final answer
    x = 15,316.06

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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.