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Finding the Fourth Proportional to 19,563.30, 29,344.65 and 7,876.22

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Solution

The fourth proportional to 19,563.30, 29,344.65 and 7,876.22 is: 11,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563.30 : 29,344.65 = 7,876.22 : x
  2. Step 2: Convert to fraction form
    19,563.30/29,344.65 = 7,876.22/x
  3. Step 3: Cross multiply
    19,563.30x = 29,344.65 × 7,876.22
  4. Step 4: Simplify right side
    19,563.30x = 231,124,772.50
  5. Step 5: Solve for x
    x = 231,124,772.50/19,563.30
  6. Step 6: Final answer
    x = 11,814.20

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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.