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Finding the Fourth Proportional to 22,750.14, 34,162.26 and 14,040.42

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Solution

The fourth proportional to 22,750.14, 34,162.26 and 14,040.42 is: 21,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750.14 : 34,162.26 = 14,040.42 : x
  2. Step 2: Convert to fraction form
    22,750.14/34,162.26 = 14,040.42/x
  3. Step 3: Cross multiply
    22,750.14x = 34,162.26 × 14,040.42
  4. Step 4: Simplify right side
    22,750.14x = 479,652,478.55
  5. Step 5: Solve for x
    x = 479,652,478.55/22,750.14
  6. Step 6: Final answer
    x = 21,083.50

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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.