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Finding the Fourth Proportional to 27,212.74, 40,819.11 and 8,746.18

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Solution

The fourth proportional to 27,212.74, 40,819.11 and 8,746.18 is: 13,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.74 : 40,819.11 = 8,746.18 : x
  2. Step 2: Convert to fraction form
    27,212.74/40,819.11 = 8,746.18/x
  3. Step 3: Cross multiply
    27,212.74x = 40,819.11 × 8,746.18
  4. Step 4: Simplify right side
    27,212.74x = 357,011,283.50
  5. Step 5: Solve for x
    x = 357,011,283.50/27,212.74
  6. Step 6: Final answer
    x = 13,119.27

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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.