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Finding the Fourth Proportional to 15,610.74, 23,419.62 and 8,218.68

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Solution

The fourth proportional to 15,610.74, 23,419.62 and 8,218.68 is: 12,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610.74 : 23,419.62 = 8,218.68 : x
  2. Step 2: Convert to fraction form
    15,610.74/23,419.62 = 8,218.68/x
  3. Step 3: Cross multiply
    15,610.74x = 23,419.62 × 8,218.68
  4. Step 4: Simplify right side
    15,610.74x = 192,478,362.50
  5. Step 5: Solve for x
    x = 192,478,362.50/15,610.74
  6. Step 6: Final answer
    x = 12,329.87

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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.