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Finding the Fourth Proportional to 22,097.10, 33,149.78 and 7,316.43

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Solution

The fourth proportional to 22,097.10, 33,149.78 and 7,316.43 is: 10,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.10 : 33,149.78 = 7,316.43 : x
  2. Step 2: Convert to fraction form
    22,097.10/33,149.78 = 7,316.43/x
  3. Step 3: Cross multiply
    22,097.10x = 33,149.78 × 7,316.43
  4. Step 4: Simplify right side
    22,097.10x = 242,537,911.43
  5. Step 5: Solve for x
    x = 242,537,911.43/22,097.10
  6. Step 6: Final answer
    x = 10,976.00

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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.