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Finding the Fourth Proportional to 16,243.39, 22,401.84 and 10,576

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Solution

The fourth proportional to 16,243.39, 22,401.84 and 10,576 is: 14,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.39 : 22,401.84 = 10,576 : x
  2. Step 2: Convert to fraction form
    16,243.39/22,401.84 = 10,576/x
  3. Step 3: Cross multiply
    16,243.39x = 22,401.84 × 10,576
  4. Step 4: Simplify right side
    16,243.39x = 236,921,859.84
  5. Step 5: Solve for x
    x = 236,921,859.84/16,243.39
  6. Step 6: Final answer
    x = 14,585.74

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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.