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Finding the Fourth Proportional to 23,853.69, 35,787.02 and 7,214.27

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Solution

The fourth proportional to 23,853.69, 35,787.02 and 7,214.27 is: 10,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.69 : 35,787.02 = 7,214.27 : x
  2. Step 2: Convert to fraction form
    23,853.69/35,787.02 = 7,214.27/x
  3. Step 3: Cross multiply
    23,853.69x = 35,787.02 × 7,214.27
  4. Step 4: Simplify right side
    23,853.69x = 258,177,009.77
  5. Step 5: Solve for x
    x = 258,177,009.77/23,853.69
  6. Step 6: Final answer
    x = 10,823.36

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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.