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Finding the Fourth Proportional to 22,835.28, 34,272.36 and 8,994

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Solution

The fourth proportional to 22,835.28, 34,272.36 and 8,994 is: 13,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.28 : 34,272.36 = 8,994 : x
  2. Step 2: Convert to fraction form
    22,835.28/34,272.36 = 8,994/x
  3. Step 3: Cross multiply
    22,835.28x = 34,272.36 × 8,994
  4. Step 4: Simplify right side
    22,835.28x = 308,245,605.84
  5. Step 5: Solve for x
    x = 308,245,605.84/22,835.28
  6. Step 6: Final answer
    x = 13,498.66

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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.