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Finding the Fourth Proportional to 21,758.75, 32,638.83 and 10,358.20

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Solution

The fourth proportional to 21,758.75, 32,638.83 and 10,358.20 is: 15,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.75 : 32,638.83 = 10,358.20 : x
  2. Step 2: Convert to fraction form
    21,758.75/32,638.83 = 10,358.20/x
  3. Step 3: Cross multiply
    21,758.75x = 32,638.83 × 10,358.20
  4. Step 4: Simplify right side
    21,758.75x = 338,079,528.91
  5. Step 5: Solve for x
    x = 338,079,528.91/21,758.75
  6. Step 6: Final answer
    x = 15,537.64

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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.