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Finding the Fourth Proportional to 14,209.27, 19,608.34 and 7,836.13

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Solution

The fourth proportional to 14,209.27, 19,608.34 and 7,836.13 is: 10,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.27 : 19,608.34 = 7,836.13 : x
  2. Step 2: Convert to fraction form
    14,209.27/19,608.34 = 7,836.13/x
  3. Step 3: Cross multiply
    14,209.27x = 19,608.34 × 7,836.13
  4. Step 4: Simplify right side
    14,209.27x = 153,653,447.41
  5. Step 5: Solve for x
    x = 153,653,447.41/14,209.27
  6. Step 6: Final answer
    x = 10,813.61

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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.