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Finding the Fourth Proportional to 17,212.68, 25,820.64 and 6,822

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Solution

The fourth proportional to 17,212.68, 25,820.64 and 6,822 is: 10,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.68 : 25,820.64 = 6,822 : x
  2. Step 2: Convert to fraction form
    17,212.68/25,820.64 = 6,822/x
  3. Step 3: Cross multiply
    17,212.68x = 25,820.64 × 6,822
  4. Step 4: Simplify right side
    17,212.68x = 176,148,406.08
  5. Step 5: Solve for x
    x = 176,148,406.08/17,212.68
  6. Step 6: Final answer
    x = 10,233.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.