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Finding the Fourth Proportional to 16,214.87, 22,373.11 and 9,844.81

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Solution

The fourth proportional to 16,214.87, 22,373.11 and 9,844.81 is: 13,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.87 : 22,373.11 = 9,844.81 : x
  2. Step 2: Convert to fraction form
    16,214.87/22,373.11 = 9,844.81/x
  3. Step 3: Cross multiply
    16,214.87x = 22,373.11 × 9,844.81
  4. Step 4: Simplify right side
    16,214.87x = 220,258,880.58
  5. Step 5: Solve for x
    x = 220,258,880.58/16,214.87
  6. Step 6: Final answer
    x = 13,583.76

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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.