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Finding the Fourth Proportional to 25,652.78, 38,475.47 and 6,933.88

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Solution

The fourth proportional to 25,652.78, 38,475.47 and 6,933.88 is: 10,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.78 : 38,475.47 = 6,933.88 : x
  2. Step 2: Convert to fraction form
    25,652.78/38,475.47 = 6,933.88/x
  3. Step 3: Cross multiply
    25,652.78x = 38,475.47 × 6,933.88
  4. Step 4: Simplify right side
    25,652.78x = 266,784,291.92
  5. Step 5: Solve for x
    x = 266,784,291.92/25,652.78
  6. Step 6: Final answer
    x = 10,399.82

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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.