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Finding the Fourth Proportional to 23,776.32, 35,664.89 and 8,992.20

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Solution

The fourth proportional to 23,776.32, 35,664.89 and 8,992.20 is: 13,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.32 : 35,664.89 = 8,992.20 : x
  2. Step 2: Convert to fraction form
    23,776.32/35,664.89 = 8,992.20/x
  3. Step 3: Cross multiply
    23,776.32x = 35,664.89 × 8,992.20
  4. Step 4: Simplify right side
    23,776.32x = 320,705,778.90
  5. Step 5: Solve for x
    x = 320,705,778.90/23,776.32
  6. Step 6: Final answer
    x = 13,488.45

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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.