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Finding the Fourth Proportional to 23,247.76, 32,081.82 and 13,178.14

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Solution

The fourth proportional to 23,247.76, 32,081.82 and 13,178.14 is: 18,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247.76 : 32,081.82 = 13,178.14 : x
  2. Step 2: Convert to fraction form
    23,247.76/32,081.82 = 13,178.14/x
  3. Step 3: Cross multiply
    23,247.76x = 32,081.82 × 13,178.14
  4. Step 4: Simplify right side
    23,247.76x = 422,778,715.41
  5. Step 5: Solve for x
    x = 422,778,715.41/23,247.76
  6. Step 6: Final answer
    x = 18,185.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.