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Finding the Fourth Proportional to 15,911.61, 23,859.25 and 8,419.21

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Solution

The fourth proportional to 15,911.61, 23,859.25 and 8,419.21 is: 12,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.61 : 23,859.25 = 8,419.21 : x
  2. Step 2: Convert to fraction form
    15,911.61/23,859.25 = 8,419.21/x
  3. Step 3: Cross multiply
    15,911.61x = 23,859.25 × 8,419.21
  4. Step 4: Simplify right side
    15,911.61x = 200,876,036.19
  5. Step 5: Solve for x
    x = 200,876,036.19/15,911.61
  6. Step 6: Final answer
    x = 12,624.49

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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.