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Finding the Fourth Proportional to 22,564.56, 33,854.94 and 10,083.54

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Solution

The fourth proportional to 22,564.56, 33,854.94 and 10,083.54 is: 15,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.56 : 33,854.94 = 10,083.54 : x
  2. Step 2: Convert to fraction form
    22,564.56/33,854.94 = 10,083.54/x
  3. Step 3: Cross multiply
    22,564.56x = 33,854.94 × 10,083.54
  4. Step 4: Simplify right side
    22,564.56x = 341,377,641.69
  5. Step 5: Solve for x
    x = 341,377,641.69/22,564.56
  6. Step 6: Final answer
    x = 15,128.93

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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.