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Finding the Fourth Proportional to 14,478.67, 19,981.56 and 8,105.86

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Solution

The fourth proportional to 14,478.67, 19,981.56 and 8,105.86 is: 11,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.67 : 19,981.56 = 8,105.86 : x
  2. Step 2: Convert to fraction form
    14,478.67/19,981.56 = 8,105.86/x
  3. Step 3: Cross multiply
    14,478.67x = 19,981.56 × 8,105.86
  4. Step 4: Simplify right side
    14,478.67x = 161,967,727.94
  5. Step 5: Solve for x
    x = 161,967,727.94/14,478.67
  6. Step 6: Final answer
    x = 11,186.64

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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.