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Finding the Fourth Proportional to 25,171.22, 37,757.68 and 7,641

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Solution

The fourth proportional to 25,171.22, 37,757.68 and 7,641 is: 11,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.22 : 37,757.68 = 7,641 : x
  2. Step 2: Convert to fraction form
    25,171.22/37,757.68 = 7,641/x
  3. Step 3: Cross multiply
    25,171.22x = 37,757.68 × 7,641
  4. Step 4: Simplify right side
    25,171.22x = 288,506,413.78
  5. Step 5: Solve for x
    x = 288,506,413.78/25,171.22
  6. Step 6: Final answer
    x = 11,461.76

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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.