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Finding the Fourth Proportional to 25,189.54, 37,781.88 and 7,659.52

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Solution

The fourth proportional to 25,189.54, 37,781.88 and 7,659.52 is: 11,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.54 : 37,781.88 = 7,659.52 : x
  2. Step 2: Convert to fraction form
    25,189.54/37,781.88 = 7,659.52/x
  3. Step 3: Cross multiply
    25,189.54x = 37,781.88 × 7,659.52
  4. Step 4: Simplify right side
    25,189.54x = 289,391,065.50
  5. Step 5: Solve for x
    x = 289,391,065.50/25,189.54
  6. Step 6: Final answer
    x = 11,488.54

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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.