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Finding the Fourth Proportional to 16,256.43, 22,439.70 and 9,883.22

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Solution

The fourth proportional to 16,256.43, 22,439.70 and 9,883.22 is: 13,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.43 : 22,439.70 = 9,883.22 : x
  2. Step 2: Convert to fraction form
    16,256.43/22,439.70 = 9,883.22/x
  3. Step 3: Cross multiply
    16,256.43x = 22,439.70 × 9,883.22
  4. Step 4: Simplify right side
    16,256.43x = 221,776,379.64
  5. Step 5: Solve for x
    x = 221,776,379.64/16,256.43
  6. Step 6: Final answer
    x = 13,642.38

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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.