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Finding the Fourth Proportional to 22,391.84, 30,902.61 and 12,322.19

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Solution

The fourth proportional to 22,391.84, 30,902.61 and 12,322.19 is: 17,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,391.84 : 30,902.61 = 12,322.19 : x
  2. Step 2: Convert to fraction form
    22,391.84/30,902.61 = 12,322.19/x
  3. Step 3: Cross multiply
    22,391.84x = 30,902.61 × 12,322.19
  4. Step 4: Simplify right side
    22,391.84x = 380,787,955.38
  5. Step 5: Solve for x
    x = 380,787,955.38/22,391.84
  6. Step 6: Final answer
    x = 17,005.66

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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.