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Finding the Fourth Proportional to 21,032.34, 29,020.59 and 12,649.38

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Solution

The fourth proportional to 21,032.34, 29,020.59 and 12,649.38 is: 17,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.34 : 29,020.59 = 12,649.38 : x
  2. Step 2: Convert to fraction form
    21,032.34/29,020.59 = 12,649.38/x
  3. Step 3: Cross multiply
    21,032.34x = 29,020.59 × 12,649.38
  4. Step 4: Simplify right side
    21,032.34x = 367,092,470.73
  5. Step 5: Solve for x
    x = 367,092,470.73/21,032.34
  6. Step 6: Final answer
    x = 17,453.72

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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.