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Finding the Fourth Proportional to 19,689.13, 29,529.24 and 5,649.13

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Solution

The fourth proportional to 19,689.13, 29,529.24 and 5,649.13 is: 8,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.13 : 29,529.24 = 5,649.13 : x
  2. Step 2: Convert to fraction form
    19,689.13/29,529.24 = 5,649.13/x
  3. Step 3: Cross multiply
    19,689.13x = 29,529.24 × 5,649.13
  4. Step 4: Simplify right side
    19,689.13x = 166,814,515.56
  5. Step 5: Solve for x
    x = 166,814,515.56/19,689.13
  6. Step 6: Final answer
    x = 8,472.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.