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Finding the Fourth Proportional to 15,095.28, 22,640.94 and 4,002

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Solution

The fourth proportional to 15,095.28, 22,640.94 and 4,002 is: 6,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.28 : 22,640.94 = 4,002 : x
  2. Step 2: Convert to fraction form
    15,095.28/22,640.94 = 4,002/x
  3. Step 3: Cross multiply
    15,095.28x = 22,640.94 × 4,002
  4. Step 4: Simplify right side
    15,095.28x = 90,609,041.88
  5. Step 5: Solve for x
    x = 90,609,041.88/15,095.28
  6. Step 6: Final answer
    x = 6,002.48

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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.