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Finding the Fourth Proportional to 25,356.42, 38,034.60 and 9,763.11

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Solution

The fourth proportional to 25,356.42, 38,034.60 and 9,763.11 is: 14,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356.42 : 38,034.60 = 9,763.11 : x
  2. Step 2: Convert to fraction form
    25,356.42/38,034.60 = 9,763.11/x
  3. Step 3: Cross multiply
    25,356.42x = 38,034.60 × 9,763.11
  4. Step 4: Simplify right side
    25,356.42x = 371,335,983.61
  5. Step 5: Solve for x
    x = 371,335,983.61/25,356.42
  6. Step 6: Final answer
    x = 14,644.65

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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.