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Finding the Fourth Proportional to 25,935.26, 38,894.73 and 8,401.02

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Solution

The fourth proportional to 25,935.26, 38,894.73 and 8,401.02 is: 12,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935.26 : 38,894.73 = 8,401.02 : x
  2. Step 2: Convert to fraction form
    25,935.26/38,894.73 = 8,401.02/x
  3. Step 3: Cross multiply
    25,935.26x = 38,894.73 × 8,401.02
  4. Step 4: Simplify right side
    25,935.26x = 326,755,404.62
  5. Step 5: Solve for x
    x = 326,755,404.62/25,935.26
  6. Step 6: Final answer
    x = 12,598.89

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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.