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Finding the Fourth Proportional to 15,754, 21,740.52 and 8,680.44

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Solution

The fourth proportional to 15,754, 21,740.52 and 8,680.44 is: 11,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 21,740.52 = 8,680.44 : x
  2. Step 2: Convert to fraction form
    15,754/21,740.52 = 8,680.44/x
  3. Step 3: Cross multiply
    15,754x = 21,740.52 × 8,680.44
  4. Step 4: Simplify right side
    15,754x = 188,717,279.43
  5. Step 5: Solve for x
    x = 188,717,279.43/15,754
  6. Step 6: Final answer
    x = 11,979.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.