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Finding the Fourth Proportional to 19,824.75, 27,358.16 and 11,868.12

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Solution

The fourth proportional to 19,824.75, 27,358.16 and 11,868.12 is: 16,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.75 : 27,358.16 = 11,868.12 : x
  2. Step 2: Convert to fraction form
    19,824.75/27,358.16 = 11,868.12/x
  3. Step 3: Cross multiply
    19,824.75x = 27,358.16 × 11,868.12
  4. Step 4: Simplify right side
    19,824.75x = 324,689,866.52
  5. Step 5: Solve for x
    x = 324,689,866.52/19,824.75
  6. Step 6: Final answer
    x = 16,378.01

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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.