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Finding the Fourth Proportional to 22,840, 34,231.80 and 16,230.40

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Solution

The fourth proportional to 22,840, 34,231.80 and 16,230.40 is: 24,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840 : 34,231.80 = 16,230.40 : x
  2. Step 2: Convert to fraction form
    22,840/34,231.80 = 16,230.40/x
  3. Step 3: Cross multiply
    22,840x = 34,231.80 × 16,230.40
  4. Step 4: Simplify right side
    22,840x = 555,595,806.72
  5. Step 5: Solve for x
    x = 555,595,806.72/22,840
  6. Step 6: Final answer
    x = 24,325.56

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Why These Related Problems?

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