Home / 10,022.24-13,824.24-6,880.16

Finding the Fourth Proportional to 10,022.24, 13,824.24 and 6,880.16

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Solution

The fourth proportional to 10,022.24, 13,824.24 and 6,880.16 is: 9,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.24 : 13,824.24 = 6,880.16 : x
  2. Step 2: Convert to fraction form
    10,022.24/13,824.24 = 6,880.16/x
  3. Step 3: Cross multiply
    10,022.24x = 13,824.24 × 6,880.16
  4. Step 4: Simplify right side
    10,022.24x = 95,112,983.08
  5. Step 5: Solve for x
    x = 95,112,983.08/10,022.24
  6. Step 6: Final answer
    x = 9,490.19

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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.