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Finding the Fourth Proportional to 25,498, 38,248.44 and 9,082

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Solution

The fourth proportional to 25,498, 38,248.44 and 9,082 is: 13,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498 : 38,248.44 = 9,082 : x
  2. Step 2: Convert to fraction form
    25,498/38,248.44 = 9,082/x
  3. Step 3: Cross multiply
    25,498x = 38,248.44 × 9,082
  4. Step 4: Simplify right side
    25,498x = 347,372,332.08
  5. Step 5: Solve for x
    x = 347,372,332.08/25,498
  6. Step 6: Final answer
    x = 13,623.51

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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.