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Finding the Fourth Proportional to 15,049.26, 22,587.75 and 7,659

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Solution

The fourth proportional to 15,049.26, 22,587.75 and 7,659 is: 11,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049.26 : 22,587.75 = 7,659 : x
  2. Step 2: Convert to fraction form
    15,049.26/22,587.75 = 7,659/x
  3. Step 3: Cross multiply
    15,049.26x = 22,587.75 × 7,659
  4. Step 4: Simplify right side
    15,049.26x = 172,999,577.25
  5. Step 5: Solve for x
    x = 172,999,577.25/15,049.26
  6. Step 6: Final answer
    x = 11,495.55

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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.