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Finding the Fourth Proportional to 25,375.06, 38,051.65 and 9,781.75

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Solution

The fourth proportional to 25,375.06, 38,051.65 and 9,781.75 is: 14,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.06 : 38,051.65 = 9,781.75 : x
  2. Step 2: Convert to fraction form
    25,375.06/38,051.65 = 9,781.75/x
  3. Step 3: Cross multiply
    25,375.06x = 38,051.65 × 9,781.75
  4. Step 4: Simplify right side
    25,375.06x = 372,211,727.39
  5. Step 5: Solve for x
    x = 372,211,727.39/25,375.06
  6. Step 6: Final answer
    x = 14,668.41

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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.