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Finding the Fourth Proportional to 12,814.70, 19,220.97 and 4,048.34

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Solution

The fourth proportional to 12,814.70, 19,220.97 and 4,048.34 is: 6,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.70 : 19,220.97 = 4,048.34 : x
  2. Step 2: Convert to fraction form
    12,814.70/19,220.97 = 4,048.34/x
  3. Step 3: Cross multiply
    12,814.70x = 19,220.97 × 4,048.34
  4. Step 4: Simplify right side
    12,814.70x = 77,813,021.69
  5. Step 5: Solve for x
    x = 77,813,021.69/12,814.70
  6. Step 6: Final answer
    x = 6,072.17

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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.