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Finding the Fourth Proportional to 19,414.16, 29,121.16 and 5,563.16

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Solution

The fourth proportional to 19,414.16, 29,121.16 and 5,563.16 is: 8,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.16 : 29,121.16 = 5,563.16 : x
  2. Step 2: Convert to fraction form
    19,414.16/29,121.16 = 5,563.16/x
  3. Step 3: Cross multiply
    19,414.16x = 29,121.16 × 5,563.16
  4. Step 4: Simplify right side
    19,414.16x = 162,005,672.47
  5. Step 5: Solve for x
    x = 162,005,672.47/19,414.16
  6. Step 6: Final answer
    x = 8,344.72

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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.