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Finding the Fourth Proportional to 13,810.24, 19,060.32 and 8,224.48

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Solution

The fourth proportional to 13,810.24, 19,060.32 and 8,224.48 is: 11,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.24 : 19,060.32 = 8,224.48 : x
  2. Step 2: Convert to fraction form
    13,810.24/19,060.32 = 8,224.48/x
  3. Step 3: Cross multiply
    13,810.24x = 19,060.32 × 8,224.48
  4. Step 4: Simplify right side
    13,810.24x = 156,761,220.63
  5. Step 5: Solve for x
    x = 156,761,220.63/13,810.24
  6. Step 6: Final answer
    x = 11,351.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.