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Finding the Fourth Proportional to 13,983.66, 20,965.77 and 5,216.22

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Solution

The fourth proportional to 13,983.66, 20,965.77 and 5,216.22 is: 7,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.66 : 20,965.77 = 5,216.22 : x
  2. Step 2: Convert to fraction form
    13,983.66/20,965.77 = 5,216.22/x
  3. Step 3: Cross multiply
    13,983.66x = 20,965.77 × 5,216.22
  4. Step 4: Simplify right side
    13,983.66x = 109,362,068.79
  5. Step 5: Solve for x
    x = 109,362,068.79/13,983.66
  6. Step 6: Final answer
    x = 7,820.70

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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.