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Finding the Fourth Proportional to 30,282.87, 41,789.94 and 16,854.12

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Solution

The fourth proportional to 30,282.87, 41,789.94 and 16,854.12 is: 23,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.87 : 41,789.94 = 16,854.12 : x
  2. Step 2: Convert to fraction form
    30,282.87/41,789.94 = 16,854.12/x
  3. Step 3: Cross multiply
    30,282.87x = 41,789.94 × 16,854.12
  4. Step 4: Simplify right side
    30,282.87x = 704,332,663.55
  5. Step 5: Solve for x
    x = 704,332,663.55/30,282.87
  6. Step 6: Final answer
    x = 23,258.45

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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.