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Finding the Fourth Proportional to 22,442.55, 30,969.38 and 12,371.42

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Solution

The fourth proportional to 22,442.55, 30,969.38 and 12,371.42 is: 17,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.55 : 30,969.38 = 12,371.42 : x
  2. Step 2: Convert to fraction form
    22,442.55/30,969.38 = 12,371.42/x
  3. Step 3: Cross multiply
    22,442.55x = 30,969.38 × 12,371.42
  4. Step 4: Simplify right side
    22,442.55x = 383,134,990.42
  5. Step 5: Solve for x
    x = 383,134,990.42/22,442.55
  6. Step 6: Final answer
    x = 17,071.81

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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.