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Finding the Fourth Proportional to 21,738.92, 32,588.94 and 10,638.68

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Solution

The fourth proportional to 21,738.92, 32,588.94 and 10,638.68 is: 15,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.92 : 32,588.94 = 10,638.68 : x
  2. Step 2: Convert to fraction form
    21,738.92/32,588.94 = 10,638.68/x
  3. Step 3: Cross multiply
    21,738.92x = 32,588.94 × 10,638.68
  4. Step 4: Simplify right side
    21,738.92x = 346,703,304.20
  5. Step 5: Solve for x
    x = 346,703,304.20/21,738.92
  6. Step 6: Final answer
    x = 15,948.51

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