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Finding the Fourth Proportional to 11,449.68, 17,174.52 and 10,838.40

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Solution

The fourth proportional to 11,449.68, 17,174.52 and 10,838.40 is: 16,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.68 : 17,174.52 = 10,838.40 : x
  2. Step 2: Convert to fraction form
    11,449.68/17,174.52 = 10,838.40/x
  3. Step 3: Cross multiply
    11,449.68x = 17,174.52 × 10,838.40
  4. Step 4: Simplify right side
    11,449.68x = 186,144,317.57
  5. Step 5: Solve for x
    x = 186,144,317.57/11,449.68
  6. Step 6: Final answer
    x = 16,257.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.