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Finding the Fourth Proportional to 25,167.80, 37,751.80 and 7,637.80

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Solution

The fourth proportional to 25,167.80, 37,751.80 and 7,637.80 is: 11,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167.80 : 37,751.80 = 7,637.80 : x
  2. Step 2: Convert to fraction form
    25,167.80/37,751.80 = 7,637.80/x
  3. Step 3: Cross multiply
    25,167.80x = 37,751.80 × 7,637.80
  4. Step 4: Simplify right side
    25,167.80x = 288,340,698.04
  5. Step 5: Solve for x
    x = 288,340,698.04/25,167.80
  6. Step 6: Final answer
    x = 11,456.73

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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.