Home / 16,117.64-22,224.32-10,142

Finding the Fourth Proportional to 16,117.64, 22,224.32 and 10,142

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Solution

The fourth proportional to 16,117.64, 22,224.32 and 10,142 is: 13,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.64 : 22,224.32 = 10,142 : x
  2. Step 2: Convert to fraction form
    16,117.64/22,224.32 = 10,142/x
  3. Step 3: Cross multiply
    16,117.64x = 22,224.32 × 10,142
  4. Step 4: Simplify right side
    16,117.64x = 225,399,053.44
  5. Step 5: Solve for x
    x = 225,399,053.44/16,117.64
  6. Step 6: Final answer
    x = 13,984.62

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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.