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Finding the Fourth Proportional to 19,877.26, 29,819.49 and 8,184.10

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Solution

The fourth proportional to 19,877.26, 29,819.49 and 8,184.10 is: 12,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.26 : 29,819.49 = 8,184.10 : x
  2. Step 2: Convert to fraction form
    19,877.26/29,819.49 = 8,184.10/x
  3. Step 3: Cross multiply
    19,877.26x = 29,819.49 × 8,184.10
  4. Step 4: Simplify right side
    19,877.26x = 244,045,688.11
  5. Step 5: Solve for x
    x = 244,045,688.11/19,877.26
  6. Step 6: Final answer
    x = 12,277.63

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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.