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Finding the Fourth Proportional to 15,171, 22,755.78 and 5,312.48

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Solution

The fourth proportional to 15,171, 22,755.78 and 5,312.48 is: 7,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171 : 22,755.78 = 5,312.48 : x
  2. Step 2: Convert to fraction form
    15,171/22,755.78 = 5,312.48/x
  3. Step 3: Cross multiply
    15,171x = 22,755.78 × 5,312.48
  4. Step 4: Simplify right side
    15,171x = 120,889,626.13
  5. Step 5: Solve for x
    x = 120,889,626.13/15,171
  6. Step 6: Final answer
    x = 7,968.47

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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.