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Finding the Fourth Proportional to 25,772.14, 38,658.18 and 7,304.14

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Solution

The fourth proportional to 25,772.14, 38,658.18 and 7,304.14 is: 10,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.14 : 38,658.18 = 7,304.14 : x
  2. Step 2: Convert to fraction form
    25,772.14/38,658.18 = 7,304.14/x
  3. Step 3: Cross multiply
    25,772.14x = 38,658.18 × 7,304.14
  4. Step 4: Simplify right side
    25,772.14x = 282,364,758.87
  5. Step 5: Solve for x
    x = 282,364,758.87/25,772.14
  6. Step 6: Final answer
    x = 10,956.20

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Similar ratio
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1.5x scale

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.