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Finding the Fourth Proportional to 25,250.88, 37,881.78 and 9,668.50

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Solution

The fourth proportional to 25,250.88, 37,881.78 and 9,668.50 is: 14,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.88 : 37,881.78 = 9,668.50 : x
  2. Step 2: Convert to fraction form
    25,250.88/37,881.78 = 9,668.50/x
  3. Step 3: Cross multiply
    25,250.88x = 37,881.78 × 9,668.50
  4. Step 4: Simplify right side
    25,250.88x = 366,259,989.93
  5. Step 5: Solve for x
    x = 366,259,989.93/25,250.88
  6. Step 6: Final answer
    x = 14,504.84

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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.