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Finding the Fourth Proportional to 22,559.81, 33,821.46 and 9,422.01

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Solution

The fourth proportional to 22,559.81, 33,821.46 and 9,422.01 is: 14,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.81 : 33,821.46 = 9,422.01 : x
  2. Step 2: Convert to fraction form
    22,559.81/33,821.46 = 9,422.01/x
  3. Step 3: Cross multiply
    22,559.81x = 33,821.46 × 9,422.01
  4. Step 4: Simplify right side
    22,559.81x = 318,666,134.33
  5. Step 5: Solve for x
    x = 318,666,134.33/22,559.81
  6. Step 6: Final answer
    x = 14,125.39

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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.