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Finding the Fourth Proportional to 21,758.41, 32,584.18 and 10,629.22

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Solution

The fourth proportional to 21,758.41, 32,584.18 and 10,629.22 is: 15,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.41 : 32,584.18 = 10,629.22 : x
  2. Step 2: Convert to fraction form
    21,758.41/32,584.18 = 10,629.22/x
  3. Step 3: Cross multiply
    21,758.41x = 32,584.18 × 10,629.22
  4. Step 4: Simplify right side
    21,758.41x = 346,344,417.74
  5. Step 5: Solve for x
    x = 346,344,417.74/21,758.41
  6. Step 6: Final answer
    x = 15,917.73

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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.