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Finding the Fourth Proportional to 21,442.69, 32,142.75 and 10,178.29

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Solution

The fourth proportional to 21,442.69, 32,142.75 and 10,178.29 is: 15,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.69 : 32,142.75 = 10,178.29 : x
  2. Step 2: Convert to fraction form
    21,442.69/32,142.75 = 10,178.29/x
  3. Step 3: Cross multiply
    21,442.69x = 32,142.75 × 10,178.29
  4. Step 4: Simplify right side
    21,442.69x = 327,158,230.90
  5. Step 5: Solve for x
    x = 327,158,230.90/21,442.69
  6. Step 6: Final answer
    x = 15,257.33

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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.