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Finding the Fourth Proportional to 22,576.41, 33,859.17 and 9,421.65

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Solution

The fourth proportional to 22,576.41, 33,859.17 and 9,421.65 is: 14,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.41 : 33,859.17 = 9,421.65 : x
  2. Step 2: Convert to fraction form
    22,576.41/33,859.17 = 9,421.65/x
  3. Step 3: Cross multiply
    22,576.41x = 33,859.17 × 9,421.65
  4. Step 4: Simplify right side
    22,576.41x = 319,009,249.03
  5. Step 5: Solve for x
    x = 319,009,249.03/22,576.41
  6. Step 6: Final answer
    x = 14,130.20

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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.