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Finding the Fourth Proportional to 16,566.84, 24,859.17 and 12,876.48

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Solution

The fourth proportional to 16,566.84, 24,859.17 and 12,876.48 is: 19,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.84 : 24,859.17 = 12,876.48 : x
  2. Step 2: Convert to fraction form
    16,566.84/24,859.17 = 12,876.48/x
  3. Step 3: Cross multiply
    16,566.84x = 24,859.17 × 12,876.48
  4. Step 4: Simplify right side
    16,566.84x = 320,098,605.32
  5. Step 5: Solve for x
    x = 320,098,605.32/16,566.84
  6. Step 6: Final answer
    x = 19,321.65

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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.