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Finding the Fourth Proportional to 25,154.97, 37,709.78 and 9,561.39

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Solution

The fourth proportional to 25,154.97, 37,709.78 and 9,561.39 is: 14,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.97 : 37,709.78 = 9,561.39 : x
  2. Step 2: Convert to fraction form
    25,154.97/37,709.78 = 9,561.39/x
  3. Step 3: Cross multiply
    25,154.97x = 37,709.78 × 9,561.39
  4. Step 4: Simplify right side
    25,154.97x = 360,557,865.59
  5. Step 5: Solve for x
    x = 360,557,865.59/25,154.97
  6. Step 6: Final answer
    x = 14,333.46

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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.