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Finding the Fourth Proportional to 22,047.84, 30,425.94 and 12,616.38

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Solution

The fourth proportional to 22,047.84, 30,425.94 and 12,616.38 is: 17,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.84 : 30,425.94 = 12,616.38 : x
  2. Step 2: Convert to fraction form
    22,047.84/30,425.94 = 12,616.38/x
  3. Step 3: Cross multiply
    22,047.84x = 30,425.94 × 12,616.38
  4. Step 4: Simplify right side
    22,047.84x = 383,865,220.90
  5. Step 5: Solve for x
    x = 383,865,220.90/22,047.84
  6. Step 6: Final answer
    x = 17,410.56

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Why These Related Problems?

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