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Finding the Fourth Proportional to 14,574.11, 20,109.76 and 8,199.81

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Solution

The fourth proportional to 14,574.11, 20,109.76 and 8,199.81 is: 11,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.11 : 20,109.76 = 8,199.81 : x
  2. Step 2: Convert to fraction form
    14,574.11/20,109.76 = 8,199.81/x
  3. Step 3: Cross multiply
    14,574.11x = 20,109.76 × 8,199.81
  4. Step 4: Simplify right side
    14,574.11x = 164,896,190.65
  5. Step 5: Solve for x
    x = 164,896,190.65/14,574.11
  6. Step 6: Final answer
    x = 11,314.33

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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.