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Finding the Fourth Proportional to 25,437.42, 38,146.68 and 8,793

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Solution

The fourth proportional to 25,437.42, 38,146.68 and 8,793 is: 13,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,437.42 : 38,146.68 = 8,793 : x
  2. Step 2: Convert to fraction form
    25,437.42/38,146.68 = 8,793/x
  3. Step 3: Cross multiply
    25,437.42x = 38,146.68 × 8,793
  4. Step 4: Simplify right side
    25,437.42x = 335,423,757.24
  5. Step 5: Solve for x
    x = 335,423,757.24/25,437.42
  6. Step 6: Final answer
    x = 13,186.23

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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.