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Finding the Fourth Proportional to 19,834.12, 27,368.04 and 11,449

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Solution

The fourth proportional to 19,834.12, 27,368.04 and 11,449 is: 15,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.12 : 27,368.04 = 11,449 : x
  2. Step 2: Convert to fraction form
    19,834.12/27,368.04 = 11,449/x
  3. Step 3: Cross multiply
    19,834.12x = 27,368.04 × 11,449
  4. Step 4: Simplify right side
    19,834.12x = 313,336,689.96
  5. Step 5: Solve for x
    x = 313,336,689.96/19,834.12
  6. Step 6: Final answer
    x = 15,797.86

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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.