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Finding the Fourth Proportional to 27,496, 37,954.32 and 16,318

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Solution

The fourth proportional to 27,496, 37,954.32 and 16,318 is: 22,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496 : 37,954.32 = 16,318 : x
  2. Step 2: Convert to fraction form
    27,496/37,954.32 = 16,318/x
  3. Step 3: Cross multiply
    27,496x = 37,954.32 × 16,318
  4. Step 4: Simplify right side
    27,496x = 619,338,593.76
  5. Step 5: Solve for x
    x = 619,338,593.76/27,496
  6. Step 6: Final answer
    x = 22,524.68

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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.