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Finding the Fourth Proportional to 23,613.68, 35,424.36 and 6,975.39

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Solution

The fourth proportional to 23,613.68, 35,424.36 and 6,975.39 is: 10,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.68 : 35,424.36 = 6,975.39 : x
  2. Step 2: Convert to fraction form
    23,613.68/35,424.36 = 6,975.39/x
  3. Step 3: Cross multiply
    23,613.68x = 35,424.36 × 6,975.39
  4. Step 4: Simplify right side
    23,613.68x = 247,098,726.50
  5. Step 5: Solve for x
    x = 247,098,726.50/23,613.68
  6. Step 6: Final answer
    x = 10,464.22

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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.