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Finding the Fourth Proportional to 13,108.27, 19,665.52 and 4,224.44

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Solution

The fourth proportional to 13,108.27, 19,665.52 and 4,224.44 is: 6,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.27 : 19,665.52 = 4,224.44 : x
  2. Step 2: Convert to fraction form
    13,108.27/19,665.52 = 4,224.44/x
  3. Step 3: Cross multiply
    13,108.27x = 19,665.52 × 4,224.44
  4. Step 4: Simplify right side
    13,108.27x = 83,075,809.31
  5. Step 5: Solve for x
    x = 83,075,809.31/13,108.27
  6. Step 6: Final answer
    x = 6,337.66

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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.