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Finding the Fourth Proportional to 19,782, 27,299.22 and 10,829.58

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Solution

The fourth proportional to 19,782, 27,299.22 and 10,829.58 is: 14,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 27,299.22 = 10,829.58 : x
  2. Step 2: Convert to fraction form
    19,782/27,299.22 = 10,829.58/x
  3. Step 3: Cross multiply
    19,782x = 27,299.22 × 10,829.58
  4. Step 4: Simplify right side
    19,782x = 295,639,086.93
  5. Step 5: Solve for x
    x = 295,639,086.93/19,782
  6. Step 6: Final answer
    x = 14,944.85

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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.