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Finding the Fourth Proportional to 22,124, 33,186 and 7,532

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Solution

The fourth proportional to 22,124, 33,186 and 7,532 is: 11,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124 : 33,186 = 7,532 : x
  2. Step 2: Convert to fraction form
    22,124/33,186 = 7,532/x
  3. Step 3: Cross multiply
    22,124x = 33,186 × 7,532
  4. Step 4: Simplify right side
    22,124x = 249,956,952
  5. Step 5: Solve for x
    x = 249,956,952/22,124
  6. Step 6: Final answer
    x = 11,298

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.