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Finding the Fourth Proportional to 25,561.25, 38,357.81 and 9,767.69

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Solution

The fourth proportional to 25,561.25, 38,357.81 and 9,767.69 is: 14,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.25 : 38,357.81 = 9,767.69 : x
  2. Step 2: Convert to fraction form
    25,561.25/38,357.81 = 9,767.69/x
  3. Step 3: Cross multiply
    25,561.25x = 38,357.81 × 9,767.69
  4. Step 4: Simplify right side
    25,561.25x = 374,667,197.16
  5. Step 5: Solve for x
    x = 374,667,197.16/25,561.25
  6. Step 6: Final answer
    x = 14,657.62

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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.