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Finding the Fourth Proportional to 22,068.30, 33,083.78 and 9,578.93

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Solution

The fourth proportional to 22,068.30, 33,083.78 and 9,578.93 is: 14,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068.30 : 33,083.78 = 9,578.93 : x
  2. Step 2: Convert to fraction form
    22,068.30/33,083.78 = 9,578.93/x
  3. Step 3: Cross multiply
    22,068.30x = 33,083.78 × 9,578.93
  4. Step 4: Simplify right side
    22,068.30x = 316,907,247.57
  5. Step 5: Solve for x
    x = 316,907,247.57/22,068.30
  6. Step 6: Final answer
    x = 14,360.29

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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.