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Finding the Fourth Proportional to 23,294.89, 32,145.96 and 13,223.15

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Solution

The fourth proportional to 23,294.89, 32,145.96 and 13,223.15 is: 18,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.89 : 32,145.96 = 13,223.15 : x
  2. Step 2: Convert to fraction form
    23,294.89/32,145.96 = 13,223.15/x
  3. Step 3: Cross multiply
    23,294.89x = 32,145.96 × 13,223.15
  4. Step 4: Simplify right side
    23,294.89x = 425,070,860.38
  5. Step 5: Solve for x
    x = 425,070,860.38/23,294.89
  6. Step 6: Final answer
    x = 18,247.39

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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.