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Finding the Fourth Proportional to 21,788.29, 32,682.43 and 15,227.29

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Solution

The fourth proportional to 21,788.29, 32,682.43 and 15,227.29 is: 22,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.29 : 32,682.43 = 15,227.29 : x
  2. Step 2: Convert to fraction form
    21,788.29/32,682.43 = 15,227.29/x
  3. Step 3: Cross multiply
    21,788.29x = 32,682.43 × 15,227.29
  4. Step 4: Simplify right side
    21,788.29x = 497,664,676.10
  5. Step 5: Solve for x
    x = 497,664,676.10/21,788.29
  6. Step 6: Final answer
    x = 22,840.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.