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Finding the Fourth Proportional to 25,109.76, 34,578.72 and 23,865.60

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Solution

The fourth proportional to 25,109.76, 34,578.72 and 23,865.60 is: 32,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.76 : 34,578.72 = 23,865.60 : x
  2. Step 2: Convert to fraction form
    25,109.76/34,578.72 = 23,865.60/x
  3. Step 3: Cross multiply
    25,109.76x = 34,578.72 × 23,865.60
  4. Step 4: Simplify right side
    25,109.76x = 825,241,900.03
  5. Step 5: Solve for x
    x = 825,241,900.03/25,109.76
  6. Step 6: Final answer
    x = 32,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.