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Finding the Fourth Proportional to 12,814.17, 19,220.23 and 4,049.16

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Solution

The fourth proportional to 12,814.17, 19,220.23 and 4,049.16 is: 6,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.17 : 19,220.23 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    12,814.17/19,220.23 = 4,049.16/x
  3. Step 3: Cross multiply
    12,814.17x = 19,220.23 × 4,049.16
  4. Step 4: Simplify right side
    12,814.17x = 77,825,786.51
  5. Step 5: Solve for x
    x = 77,825,786.51/12,814.17
  6. Step 6: Final answer
    x = 6,073.42

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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.