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Finding the Fourth Proportional to 15,960, 23,943.84 and 7,194.90

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Solution

The fourth proportional to 15,960, 23,943.84 and 7,194.90 is: 10,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 23,943.84 = 7,194.90 : x
  2. Step 2: Convert to fraction form
    15,960/23,943.84 = 7,194.90/x
  3. Step 3: Cross multiply
    15,960x = 23,943.84 × 7,194.90
  4. Step 4: Simplify right side
    15,960x = 172,273,534.42
  5. Step 5: Solve for x
    x = 172,273,534.42/15,960
  6. Step 6: Final answer
    x = 10,794.08

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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.