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Finding the Fourth Proportional to 22,594.77, 31,180.83 and 12,523.38

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Solution

The fourth proportional to 22,594.77, 31,180.83 and 12,523.38 is: 17,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.77 : 31,180.83 = 12,523.38 : x
  2. Step 2: Convert to fraction form
    22,594.77/31,180.83 = 12,523.38/x
  3. Step 3: Cross multiply
    22,594.77x = 31,180.83 × 12,523.38
  4. Step 4: Simplify right side
    22,594.77x = 390,489,382.81
  5. Step 5: Solve for x
    x = 390,489,382.81/22,594.77
  6. Step 6: Final answer
    x = 17,282.29

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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.