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Finding the Fourth Proportional to 25,200, 34,775.38 and 13,869.72

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Solution

The fourth proportional to 25,200, 34,775.38 and 13,869.72 is: 19,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 34,775.38 = 13,869.72 : x
  2. Step 2: Convert to fraction form
    25,200/34,775.38 = 13,869.72/x
  3. Step 3: Cross multiply
    25,200x = 34,775.38 × 13,869.72
  4. Step 4: Simplify right side
    25,200x = 482,324,783.49
  5. Step 5: Solve for x
    x = 482,324,783.49/25,200
  6. Step 6: Final answer
    x = 19,139.87

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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.