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Finding the Fourth Proportional to 22,255.40, 30,715.70 and 12,822.12

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Solution

The fourth proportional to 22,255.40, 30,715.70 and 12,822.12 is: 17,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,255.40 : 30,715.70 = 12,822.12 : x
  2. Step 2: Convert to fraction form
    22,255.40/30,715.70 = 12,822.12/x
  3. Step 3: Cross multiply
    22,255.40x = 30,715.70 × 12,822.12
  4. Step 4: Simplify right side
    22,255.40x = 393,840,391.28
  5. Step 5: Solve for x
    x = 393,840,391.28/22,255.40
  6. Step 6: Final answer
    x = 17,696.40

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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.