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Finding the Fourth Proportional to 22,595.38, 31,181.79 and 12,523.90

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Solution

The fourth proportional to 22,595.38, 31,181.79 and 12,523.90 is: 17,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.38 : 31,181.79 = 12,523.90 : x
  2. Step 2: Convert to fraction form
    22,595.38/31,181.79 = 12,523.90/x
  3. Step 3: Cross multiply
    22,595.38x = 31,181.79 × 12,523.90
  4. Step 4: Simplify right side
    22,595.38x = 390,517,619.78
  5. Step 5: Solve for x
    x = 390,517,619.78/22,595.38
  6. Step 6: Final answer
    x = 17,283.07

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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.