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Finding the Fourth Proportional to 13,832.66, 20,752.83 and 6,814.71

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Solution

The fourth proportional to 13,832.66, 20,752.83 and 6,814.71 is: 10,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.66 : 20,752.83 = 6,814.71 : x
  2. Step 2: Convert to fraction form
    13,832.66/20,752.83 = 6,814.71/x
  3. Step 3: Cross multiply
    13,832.66x = 20,752.83 × 6,814.71
  4. Step 4: Simplify right side
    13,832.66x = 141,424,518.13
  5. Step 5: Solve for x
    x = 141,424,518.13/13,832.66
  6. Step 6: Final answer
    x = 10,223.96

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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.