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Finding the Fourth Proportional to 25,446.30, 38,173.05 and 9,865.50

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Solution

The fourth proportional to 25,446.30, 38,173.05 and 9,865.50 is: 14,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.30 : 38,173.05 = 9,865.50 : x
  2. Step 2: Convert to fraction form
    25,446.30/38,173.05 = 9,865.50/x
  3. Step 3: Cross multiply
    25,446.30x = 38,173.05 × 9,865.50
  4. Step 4: Simplify right side
    25,446.30x = 376,596,224.78
  5. Step 5: Solve for x
    x = 376,596,224.78/25,446.30
  6. Step 6: Final answer
    x = 14,799.65

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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.