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Finding the Fourth Proportional to 23,924.52, 33,013.70 and 13,853.64

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Solution

The fourth proportional to 23,924.52, 33,013.70 and 13,853.64 is: 19,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.52 : 33,013.70 = 13,853.64 : x
  2. Step 2: Convert to fraction form
    23,924.52/33,013.70 = 13,853.64/x
  3. Step 3: Cross multiply
    23,924.52x = 33,013.70 × 13,853.64
  4. Step 4: Simplify right side
    23,924.52x = 457,359,914.87
  5. Step 5: Solve for x
    x = 457,359,914.87/23,924.52
  6. Step 6: Final answer
    x = 19,116.79

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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.