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Finding the Fourth Proportional to 13,569.82, 18,726.34 and 8,264.63

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Solution

The fourth proportional to 13,569.82, 18,726.34 and 8,264.63 is: 11,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.82 : 18,726.34 = 8,264.63 : x
  2. Step 2: Convert to fraction form
    13,569.82/18,726.34 = 8,264.63/x
  3. Step 3: Cross multiply
    13,569.82x = 18,726.34 × 8,264.63
  4. Step 4: Simplify right side
    13,569.82x = 154,766,230.03
  5. Step 5: Solve for x
    x = 154,766,230.03/13,569.82
  6. Step 6: Final answer
    x = 11,405.18

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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.