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Finding the Fourth Proportional to 21,032.14, 29,024.38 and 12,081.38

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Solution

The fourth proportional to 21,032.14, 29,024.38 and 12,081.38 is: 16,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.14 : 29,024.38 = 12,081.38 : x
  2. Step 2: Convert to fraction form
    21,032.14/29,024.38 = 12,081.38/x
  3. Step 3: Cross multiply
    21,032.14x = 29,024.38 × 12,081.38
  4. Step 4: Simplify right side
    21,032.14x = 350,654,498.67
  5. Step 5: Solve for x
    x = 350,654,498.67/21,032.14
  6. Step 6: Final answer
    x = 16,672.31

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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.