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Finding the Fourth Proportional to 25,902.78, 38,848.53 and 9,263.97

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Solution

The fourth proportional to 25,902.78, 38,848.53 and 9,263.97 is: 13,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.78 : 38,848.53 = 9,263.97 : x
  2. Step 2: Convert to fraction form
    25,902.78/38,848.53 = 9,263.97/x
  3. Step 3: Cross multiply
    25,902.78x = 38,848.53 × 9,263.97
  4. Step 4: Simplify right side
    25,902.78x = 359,891,616.46
  5. Step 5: Solve for x
    x = 359,891,616.46/25,902.78
  6. Step 6: Final answer
    x = 13,893.94

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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.