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Finding the Fourth Proportional to 25,898.60, 38,822.30 and 10,295.40

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Solution

The fourth proportional to 25,898.60, 38,822.30 and 10,295.40 is: 15,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.60 : 38,822.30 = 10,295.40 : x
  2. Step 2: Convert to fraction form
    25,898.60/38,822.30 = 10,295.40/x
  3. Step 3: Cross multiply
    25,898.60x = 38,822.30 × 10,295.40
  4. Step 4: Simplify right side
    25,898.60x = 399,691,107.42
  5. Step 5: Solve for x
    x = 399,691,107.42/25,898.60
  6. Step 6: Final answer
    x = 15,432.92

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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.