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Finding the Fourth Proportional to 13,977.66, 20,956.77 and 5,210.22

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Solution

The fourth proportional to 13,977.66, 20,956.77 and 5,210.22 is: 7,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.66 : 20,956.77 = 5,210.22 : x
  2. Step 2: Convert to fraction form
    13,977.66/20,956.77 = 5,210.22/x
  3. Step 3: Cross multiply
    13,977.66x = 20,956.77 × 5,210.22
  4. Step 4: Simplify right side
    13,977.66x = 109,189,382.19
  5. Step 5: Solve for x
    x = 109,189,382.19/13,977.66
  6. Step 6: Final answer
    x = 7,811.71

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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.