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Finding the Fourth Proportional to 22,055.16, 33,087.24 and 12,819

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Solution

The fourth proportional to 22,055.16, 33,087.24 and 12,819 is: 19,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,055.16 : 33,087.24 = 12,819 : x
  2. Step 2: Convert to fraction form
    22,055.16/33,087.24 = 12,819/x
  3. Step 3: Cross multiply
    22,055.16x = 33,087.24 × 12,819
  4. Step 4: Simplify right side
    22,055.16x = 424,145,329.56
  5. Step 5: Solve for x
    x = 424,145,329.56/22,055.16
  6. Step 6: Final answer
    x = 19,231.12

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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.