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Finding the Fourth Proportional to 25,777, 38,657.82 and 9,979.24

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Solution

The fourth proportional to 25,777, 38,657.82 and 9,979.24 is: 14,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777 : 38,657.82 = 9,979.24 : x
  2. Step 2: Convert to fraction form
    25,777/38,657.82 = 9,979.24/x
  3. Step 3: Cross multiply
    25,777x = 38,657.82 × 9,979.24
  4. Step 4: Simplify right side
    25,777x = 385,775,663.66
  5. Step 5: Solve for x
    x = 385,775,663.66/25,777
  6. Step 6: Final answer
    x = 14,965.89

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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.