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Finding the Fourth Proportional to 25,654.42, 38,483.84 and 6,934.38

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Solution

The fourth proportional to 25,654.42, 38,483.84 and 6,934.38 is: 10,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.42 : 38,483.84 = 6,934.38 : x
  2. Step 2: Convert to fraction form
    25,654.42/38,483.84 = 6,934.38/x
  3. Step 3: Cross multiply
    25,654.42x = 38,483.84 × 6,934.38
  4. Step 4: Simplify right side
    25,654.42x = 266,861,443.44
  5. Step 5: Solve for x
    x = 266,861,443.44/25,654.42
  6. Step 6: Final answer
    x = 10,402.16

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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.