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Finding the Fourth Proportional to 23,853.14, 35,783.82 and 8,058.28

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Solution

The fourth proportional to 23,853.14, 35,783.82 and 8,058.28 is: 12,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.14 : 35,783.82 = 8,058.28 : x
  2. Step 2: Convert to fraction form
    23,853.14/35,783.82 = 8,058.28/x
  3. Step 3: Cross multiply
    23,853.14x = 35,783.82 × 8,058.28
  4. Step 4: Simplify right side
    23,853.14x = 288,355,951.57
  5. Step 5: Solve for x
    x = 288,355,951.57/23,853.14
  6. Step 6: Final answer
    x = 12,088.81

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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.