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Finding the Fourth Proportional to 22,288.84, 30,758.18 and 12,217

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Solution

The fourth proportional to 22,288.84, 30,758.18 and 12,217 is: 16,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.84 : 30,758.18 = 12,217 : x
  2. Step 2: Convert to fraction form
    22,288.84/30,758.18 = 12,217/x
  3. Step 3: Cross multiply
    22,288.84x = 30,758.18 × 12,217
  4. Step 4: Simplify right side
    22,288.84x = 375,772,685.06
  5. Step 5: Solve for x
    x = 375,772,685.06/22,288.84
  6. Step 6: Final answer
    x = 16,859.23

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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.