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Finding the Fourth Proportional to 24,133.38, 33,304.02 and 14,701.94

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Solution

The fourth proportional to 24,133.38, 33,304.02 and 14,701.94 is: 20,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.38 : 33,304.02 = 14,701.94 : x
  2. Step 2: Convert to fraction form
    24,133.38/33,304.02 = 14,701.94/x
  3. Step 3: Cross multiply
    24,133.38x = 33,304.02 × 14,701.94
  4. Step 4: Simplify right side
    24,133.38x = 489,633,787.06
  5. Step 5: Solve for x
    x = 489,633,787.06/24,133.38
  6. Step 6: Final answer
    x = 20,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.