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Finding the Fourth Proportional to 22,697.77, 34,055.16 and 10,214.05

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Solution

The fourth proportional to 22,697.77, 34,055.16 and 10,214.05 is: 15,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.77 : 34,055.16 = 10,214.05 : x
  2. Step 2: Convert to fraction form
    22,697.77/34,055.16 = 10,214.05/x
  3. Step 3: Cross multiply
    22,697.77x = 34,055.16 × 10,214.05
  4. Step 4: Simplify right side
    22,697.77x = 347,841,107.00
  5. Step 5: Solve for x
    x = 347,841,107.00/22,697.77
  6. Step 6: Final answer
    x = 15,324.90

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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.