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Finding the Fourth Proportional to 22,478.64, 31,020.09 and 12,406.49

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Solution

The fourth proportional to 22,478.64, 31,020.09 and 12,406.49 is: 17,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.64 : 31,020.09 = 12,406.49 : x
  2. Step 2: Convert to fraction form
    22,478.64/31,020.09 = 12,406.49/x
  3. Step 3: Cross multiply
    22,478.64x = 31,020.09 × 12,406.49
  4. Step 4: Simplify right side
    22,478.64x = 384,850,436.38
  5. Step 5: Solve for x
    x = 384,850,436.38/22,478.64
  6. Step 6: Final answer
    x = 17,120.72

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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.