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Finding the Fourth Proportional to 23,203.38, 34,810.72 and 7,408.42

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Solution

The fourth proportional to 23,203.38, 34,810.72 and 7,408.42 is: 11,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.38 : 34,810.72 = 7,408.42 : x
  2. Step 2: Convert to fraction form
    23,203.38/34,810.72 = 7,408.42/x
  3. Step 3: Cross multiply
    23,203.38x = 34,810.72 × 7,408.42
  4. Step 4: Simplify right side
    23,203.38x = 257,892,434.26
  5. Step 5: Solve for x
    x = 257,892,434.26/23,203.38
  6. Step 6: Final answer
    x = 11,114.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.