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Finding the Fourth Proportional to 17,304, 25,959.24 and 8,070

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Solution

The fourth proportional to 17,304, 25,959.24 and 8,070 is: 12,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,304 : 25,959.24 = 8,070 : x
  2. Step 2: Convert to fraction form
    17,304/25,959.24 = 8,070/x
  3. Step 3: Cross multiply
    17,304x = 25,959.24 × 8,070
  4. Step 4: Simplify right side
    17,304x = 209,491,066.80
  5. Step 5: Solve for x
    x = 209,491,066.80/17,304
  6. Step 6: Final answer
    x = 12,106.51

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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.