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Finding the Fourth Proportional to 23,722.72, 35,588.48 and 8,141.92

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Solution

The fourth proportional to 23,722.72, 35,588.48 and 8,141.92 is: 12,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.72 : 35,588.48 = 8,141.92 : x
  2. Step 2: Convert to fraction form
    23,722.72/35,588.48 = 8,141.92/x
  3. Step 3: Cross multiply
    23,722.72x = 35,588.48 × 8,141.92
  4. Step 4: Simplify right side
    23,722.72x = 289,758,557.08
  5. Step 5: Solve for x
    x = 289,758,557.08/23,722.72
  6. Step 6: Final answer
    x = 12,214.39

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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.