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Finding the Fourth Proportional to 20,451.34, 28,221.18 and 11,497.17

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Solution

The fourth proportional to 20,451.34, 28,221.18 and 11,497.17 is: 15,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.34 : 28,221.18 = 11,497.17 : x
  2. Step 2: Convert to fraction form
    20,451.34/28,221.18 = 11,497.17/x
  3. Step 3: Cross multiply
    20,451.34x = 28,221.18 × 11,497.17
  4. Step 4: Simplify right side
    20,451.34x = 324,463,625.67
  5. Step 5: Solve for x
    x = 324,463,625.67/20,451.34
  6. Step 6: Final answer
    x = 15,865.16

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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.