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Finding the Fourth Proportional to 23,294.63, 32,146.78 and 13,223.09

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Solution

The fourth proportional to 23,294.63, 32,146.78 and 13,223.09 is: 18,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.63 : 32,146.78 = 13,223.09 : x
  2. Step 2: Convert to fraction form
    23,294.63/32,146.78 = 13,223.09/x
  3. Step 3: Cross multiply
    23,294.63x = 32,146.78 × 13,223.09
  4. Step 4: Simplify right side
    23,294.63x = 425,079,604.42
  5. Step 5: Solve for x
    x = 425,079,604.42/23,294.63
  6. Step 6: Final answer
    x = 18,247.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.