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Finding the Fourth Proportional to 22,464.54, 33,697.08 and 10,775.16

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Solution

The fourth proportional to 22,464.54, 33,697.08 and 10,775.16 is: 16,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.54 : 33,697.08 = 10,775.16 : x
  2. Step 2: Convert to fraction form
    22,464.54/33,697.08 = 10,775.16/x
  3. Step 3: Cross multiply
    22,464.54x = 33,697.08 × 10,775.16
  4. Step 4: Simplify right side
    22,464.54x = 363,091,428.53
  5. Step 5: Solve for x
    x = 363,091,428.53/22,464.54
  6. Step 6: Final answer
    x = 16,162.87

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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.