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Finding the Fourth Proportional to 16,223.28, 22,394 and 10,259

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Solution

The fourth proportional to 16,223.28, 22,394 and 10,259 is: 14,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.28 : 22,394 = 10,259 : x
  2. Step 2: Convert to fraction form
    16,223.28/22,394 = 10,259/x
  3. Step 3: Cross multiply
    16,223.28x = 22,394 × 10,259
  4. Step 4: Simplify right side
    16,223.28x = 229,740,046
  5. Step 5: Solve for x
    x = 229,740,046/16,223.28
  6. Step 6: Final answer
    x = 14,161.13

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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.