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Finding the Fourth Proportional to 15,168, 22,755.84 and 4,224

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Solution

The fourth proportional to 15,168, 22,755.84 and 4,224 is: 6,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,168 : 22,755.84 = 4,224 : x
  2. Step 2: Convert to fraction form
    15,168/22,755.84 = 4,224/x
  3. Step 3: Cross multiply
    15,168x = 22,755.84 × 4,224
  4. Step 4: Simplify right side
    15,168x = 96,120,668.16
  5. Step 5: Solve for x
    x = 96,120,668.16/15,168
  6. Step 6: Final answer
    x = 6,337.07

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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.