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Finding the Fourth Proportional to 27,816.68, 41,724.65 and 6,756.89

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Solution

The fourth proportional to 27,816.68, 41,724.65 and 6,756.89 is: 10,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.68 : 41,724.65 = 6,756.89 : x
  2. Step 2: Convert to fraction form
    27,816.68/41,724.65 = 6,756.89/x
  3. Step 3: Cross multiply
    27,816.68x = 41,724.65 × 6,756.89
  4. Step 4: Simplify right side
    27,816.68x = 281,928,678.61
  5. Step 5: Solve for x
    x = 281,928,678.61/27,816.68
  6. Step 6: Final answer
    x = 10,135.24

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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.