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Finding the Fourth Proportional to 22,568.69, 33,852.96 and 7,777.59

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Solution

The fourth proportional to 22,568.69, 33,852.96 and 7,777.59 is: 11,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.69 : 33,852.96 = 7,777.59 : x
  2. Step 2: Convert to fraction form
    22,568.69/33,852.96 = 7,777.59/x
  3. Step 3: Cross multiply
    22,568.69x = 33,852.96 × 7,777.59
  4. Step 4: Simplify right side
    22,568.69x = 263,294,443.17
  5. Step 5: Solve for x
    x = 263,294,443.17/22,568.69
  6. Step 6: Final answer
    x = 11,666.36

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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.