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Finding the Fourth Proportional to 23,442.78, 32,351.10 and 12,833.10

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Solution

The fourth proportional to 23,442.78, 32,351.10 and 12,833.10 is: 17,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.78 : 32,351.10 = 12,833.10 : x
  2. Step 2: Convert to fraction form
    23,442.78/32,351.10 = 12,833.10/x
  3. Step 3: Cross multiply
    23,442.78x = 32,351.10 × 12,833.10
  4. Step 4: Simplify right side
    23,442.78x = 415,164,853.29
  5. Step 5: Solve for x
    x = 415,164,853.29/23,442.78
  6. Step 6: Final answer
    x = 17,709.71

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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.