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Finding the Fourth Proportional to 15,754.92, 21,742.26 and 8,681.80

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Solution

The fourth proportional to 15,754.92, 21,742.26 and 8,681.80 is: 11,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.92 : 21,742.26 = 8,681.80 : x
  2. Step 2: Convert to fraction form
    15,754.92/21,742.26 = 8,681.80/x
  3. Step 3: Cross multiply
    15,754.92x = 21,742.26 × 8,681.80
  4. Step 4: Simplify right side
    15,754.92x = 188,761,906.72
  5. Step 5: Solve for x
    x = 188,761,906.72/15,754.92
  6. Step 6: Final answer
    x = 11,981.14

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1.5x scale

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.