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Finding the Fourth Proportional to 23,928.94, 33,022.65 and 13,857.40

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Solution

The fourth proportional to 23,928.94, 33,022.65 and 13,857.40 is: 19,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928.94 : 33,022.65 = 13,857.40 : x
  2. Step 2: Convert to fraction form
    23,928.94/33,022.65 = 13,857.40/x
  3. Step 3: Cross multiply
    23,928.94x = 33,022.65 × 13,857.40
  4. Step 4: Simplify right side
    23,928.94x = 457,608,070.11
  5. Step 5: Solve for x
    x = 457,608,070.11/23,928.94
  6. Step 6: Final answer
    x = 19,123.62

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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.