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Finding the Fourth Proportional to 13,809.24, 19,058.94 and 8,223.48

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Solution

The fourth proportional to 13,809.24, 19,058.94 and 8,223.48 is: 11,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.24 : 19,058.94 = 8,223.48 : x
  2. Step 2: Convert to fraction form
    13,809.24/19,058.94 = 8,223.48/x
  3. Step 3: Cross multiply
    13,809.24x = 19,058.94 × 8,223.48
  4. Step 4: Simplify right side
    13,809.24x = 156,730,811.91
  5. Step 5: Solve for x
    x = 156,730,811.91/13,809.24
  6. Step 6: Final answer
    x = 11,349.71

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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.