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Finding the Fourth Proportional to 22,299.69, 30,768.75 and 12,862.78

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Solution

The fourth proportional to 22,299.69, 30,768.75 and 12,862.78 is: 17,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.69 : 30,768.75 = 12,862.78 : x
  2. Step 2: Convert to fraction form
    22,299.69/30,768.75 = 12,862.78/x
  3. Step 3: Cross multiply
    22,299.69x = 30,768.75 × 12,862.78
  4. Step 4: Simplify right side
    22,299.69x = 395,771,700.59
  5. Step 5: Solve for x
    x = 395,771,700.59/22,299.69
  6. Step 6: Final answer
    x = 17,747.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.