Home / 22,582.16-31,163.32-13,022

Finding the Fourth Proportional to 22,582.16, 31,163.32 and 13,022

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Solution

The fourth proportional to 22,582.16, 31,163.32 and 13,022 is: 17,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.16 : 31,163.32 = 13,022 : x
  2. Step 2: Convert to fraction form
    22,582.16/31,163.32 = 13,022/x
  3. Step 3: Cross multiply
    22,582.16x = 31,163.32 × 13,022
  4. Step 4: Simplify right side
    22,582.16x = 405,808,753.04
  5. Step 5: Solve for x
    x = 405,808,753.04/22,582.16
  6. Step 6: Final answer
    x = 17,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.