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Finding the Fourth Proportional to 17,111.80, 25,665.13 and 5,423.50

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Solution

The fourth proportional to 17,111.80, 25,665.13 and 5,423.50 is: 8,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.80 : 25,665.13 = 5,423.50 : x
  2. Step 2: Convert to fraction form
    17,111.80/25,665.13 = 5,423.50/x
  3. Step 3: Cross multiply
    17,111.80x = 25,665.13 × 5,423.50
  4. Step 4: Simplify right side
    17,111.80x = 139,194,832.56
  5. Step 5: Solve for x
    x = 139,194,832.56/17,111.80
  6. Step 6: Final answer
    x = 8,134.44

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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.