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Finding the Fourth Proportional to 22,369.10, 33,557.69 and 9,214.29

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Solution

The fourth proportional to 22,369.10, 33,557.69 and 9,214.29 is: 13,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.10 : 33,557.69 = 9,214.29 : x
  2. Step 2: Convert to fraction form
    22,369.10/33,557.69 = 9,214.29/x
  3. Step 3: Cross multiply
    22,369.10x = 33,557.69 × 9,214.29
  4. Step 4: Simplify right side
    22,369.10x = 309,210,310.43
  5. Step 5: Solve for x
    x = 309,210,310.43/22,369.10
  6. Step 6: Final answer
    x = 13,823.10

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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.