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Finding the Fourth Proportional to 27,224.32, 40,827.84 and 8,752

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Solution

The fourth proportional to 27,224.32, 40,827.84 and 8,752 is: 13,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.32 : 40,827.84 = 8,752 : x
  2. Step 2: Convert to fraction form
    27,224.32/40,827.84 = 8,752/x
  3. Step 3: Cross multiply
    27,224.32x = 40,827.84 × 8,752
  4. Step 4: Simplify right side
    27,224.32x = 357,325,255.68
  5. Step 5: Solve for x
    x = 357,325,255.68/27,224.32
  6. Step 6: Final answer
    x = 13,125.22

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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.