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Finding the Fourth Proportional to 23,838.25, 35,713.79 and 11,164.76

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Solution

The fourth proportional to 23,838.25, 35,713.79 and 11,164.76 is: 16,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.25 : 35,713.79 = 11,164.76 : x
  2. Step 2: Convert to fraction form
    23,838.25/35,713.79 = 11,164.76/x
  3. Step 3: Cross multiply
    23,838.25x = 35,713.79 × 11,164.76
  4. Step 4: Simplify right side
    23,838.25x = 398,735,894.04
  5. Step 5: Solve for x
    x = 398,735,894.04/23,838.25
  6. Step 6: Final answer
    x = 16,726.73

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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.