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Finding the Fourth Proportional to 25,897.24, 38,848.07 and 7,177.29

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Solution

The fourth proportional to 25,897.24, 38,848.07 and 7,177.29 is: 10,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.24 : 38,848.07 = 7,177.29 : x
  2. Step 2: Convert to fraction form
    25,897.24/38,848.07 = 7,177.29/x
  3. Step 3: Cross multiply
    25,897.24x = 38,848.07 × 7,177.29
  4. Step 4: Simplify right side
    25,897.24x = 278,823,864.33
  5. Step 5: Solve for x
    x = 278,823,864.33/25,897.24
  6. Step 6: Final answer
    x = 10,766.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.