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Finding the Fourth Proportional to 22,642.34, 33,938.87 and 9,479.30

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Solution

The fourth proportional to 22,642.34, 33,938.87 and 9,479.30 is: 14,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.34 : 33,938.87 = 9,479.30 : x
  2. Step 2: Convert to fraction form
    22,642.34/33,938.87 = 9,479.30/x
  3. Step 3: Cross multiply
    22,642.34x = 33,938.87 × 9,479.30
  4. Step 4: Simplify right side
    22,642.34x = 321,716,513.30
  5. Step 5: Solve for x
    x = 321,716,513.30/22,642.34
  6. Step 6: Final answer
    x = 14,208.63

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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.