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Finding the Fourth Proportional to 25,627.80, 38,428.24 and 11,575.72

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Solution

The fourth proportional to 25,627.80, 38,428.24 and 11,575.72 is: 17,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627.80 : 38,428.24 = 11,575.72 : x
  2. Step 2: Convert to fraction form
    25,627.80/38,428.24 = 11,575.72/x
  3. Step 3: Cross multiply
    25,627.80x = 38,428.24 × 11,575.72
  4. Step 4: Simplify right side
    25,627.80x = 444,834,546.33
  5. Step 5: Solve for x
    x = 444,834,546.33/25,627.80
  6. Step 6: Final answer
    x = 17,357.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.