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Finding the Fourth Proportional to 22,867.84, 34,305.84 and 8,085.34

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Solution

The fourth proportional to 22,867.84, 34,305.84 and 8,085.34 is: 12,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867.84 : 34,305.84 = 8,085.34 : x
  2. Step 2: Convert to fraction form
    22,867.84/34,305.84 = 8,085.34/x
  3. Step 3: Cross multiply
    22,867.84x = 34,305.84 × 8,085.34
  4. Step 4: Simplify right side
    22,867.84x = 277,374,380.39
  5. Step 5: Solve for x
    x = 277,374,380.39/22,867.84
  6. Step 6: Final answer
    x = 12,129.45

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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.