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Finding the Fourth Proportional to 21,217, 29,282.16 and 12,833.56

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Solution

The fourth proportional to 21,217, 29,282.16 and 12,833.56 is: 17,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217 : 29,282.16 = 12,833.56 : x
  2. Step 2: Convert to fraction form
    21,217/29,282.16 = 12,833.56/x
  3. Step 3: Cross multiply
    21,217x = 29,282.16 × 12,833.56
  4. Step 4: Simplify right side
    21,217x = 375,794,357.29
  5. Step 5: Solve for x
    x = 375,794,357.29/21,217
  6. Step 6: Final answer
    x = 17,711.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.