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Finding the Fourth Proportional to 22,831, 34,199.32 and 13,442.10

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Solution

The fourth proportional to 22,831, 34,199.32 and 13,442.10 is: 20,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831 : 34,199.32 = 13,442.10 : x
  2. Step 2: Convert to fraction form
    22,831/34,199.32 = 13,442.10/x
  3. Step 3: Cross multiply
    22,831x = 34,199.32 × 13,442.10
  4. Step 4: Simplify right side
    22,831x = 459,710,679.37
  5. Step 5: Solve for x
    x = 459,710,679.37/22,831
  6. Step 6: Final answer
    x = 20,135.37

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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.