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Finding the Fourth Proportional to 14,717.50, 22,081.68 and 6,823.78

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Solution

The fourth proportional to 14,717.50, 22,081.68 and 6,823.78 is: 10,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.50 : 22,081.68 = 6,823.78 : x
  2. Step 2: Convert to fraction form
    14,717.50/22,081.68 = 6,823.78/x
  3. Step 3: Cross multiply
    14,717.50x = 22,081.68 × 6,823.78
  4. Step 4: Simplify right side
    14,717.50x = 150,680,526.35
  5. Step 5: Solve for x
    x = 150,680,526.35/14,717.50
  6. Step 6: Final answer
    x = 10,238.19

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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.