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Finding the Fourth Proportional to 25,503.05, 38,251.53 and 6,784.46

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Solution

The fourth proportional to 25,503.05, 38,251.53 and 6,784.46 is: 10,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.05 : 38,251.53 = 6,784.46 : x
  2. Step 2: Convert to fraction form
    25,503.05/38,251.53 = 6,784.46/x
  3. Step 3: Cross multiply
    25,503.05x = 38,251.53 × 6,784.46
  4. Step 4: Simplify right side
    25,503.05x = 259,515,975.22
  5. Step 5: Solve for x
    x = 259,515,975.22/25,503.05
  6. Step 6: Final answer
    x = 10,175.88

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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.