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Finding the Fourth Proportional to 21,397.76, 29,530.28 and 11,966.39

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Solution

The fourth proportional to 21,397.76, 29,530.28 and 11,966.39 is: 16,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.76 : 29,530.28 = 11,966.39 : x
  2. Step 2: Convert to fraction form
    21,397.76/29,530.28 = 11,966.39/x
  3. Step 3: Cross multiply
    21,397.76x = 29,530.28 × 11,966.39
  4. Step 4: Simplify right side
    21,397.76x = 353,370,787.46
  5. Step 5: Solve for x
    x = 353,370,787.46/21,397.76
  6. Step 6: Final answer
    x = 16,514.38

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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.