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Finding the Fourth Proportional to 22,885.56, 31,585.44 and 13,938.30

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Solution

The fourth proportional to 22,885.56, 31,585.44 and 13,938.30 is: 19,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.56 : 31,585.44 = 13,938.30 : x
  2. Step 2: Convert to fraction form
    22,885.56/31,585.44 = 13,938.30/x
  3. Step 3: Cross multiply
    22,885.56x = 31,585.44 × 13,938.30
  4. Step 4: Simplify right side
    22,885.56x = 440,247,338.35
  5. Step 5: Solve for x
    x = 440,247,338.35/22,885.56
  6. Step 6: Final answer
    x = 19,236.90

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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.