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Finding the Fourth Proportional to 21,833.76, 30,126.96 and 12,398.88

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Solution

The fourth proportional to 21,833.76, 30,126.96 and 12,398.88 is: 17,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.76 : 30,126.96 = 12,398.88 : x
  2. Step 2: Convert to fraction form
    21,833.76/30,126.96 = 12,398.88/x
  3. Step 3: Cross multiply
    21,833.76x = 30,126.96 × 12,398.88
  4. Step 4: Simplify right side
    21,833.76x = 373,540,561.80
  5. Step 5: Solve for x
    x = 373,540,561.80/21,833.76
  6. Step 6: Final answer
    x = 17,108.39

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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.