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Finding the Fourth Proportional to 27,802, 38,367.03 and 16,624

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Solution

The fourth proportional to 27,802, 38,367.03 and 16,624 is: 22,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802 : 38,367.03 = 16,624 : x
  2. Step 2: Convert to fraction form
    27,802/38,367.03 = 16,624/x
  3. Step 3: Cross multiply
    27,802x = 38,367.03 × 16,624
  4. Step 4: Simplify right side
    27,802x = 637,813,506.72
  5. Step 5: Solve for x
    x = 637,813,506.72/27,802
  6. Step 6: Final answer
    x = 22,941.28

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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.