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Finding the Fourth Proportional to 13,327.71, 18,393.32 and 7,664.29

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Solution

The fourth proportional to 13,327.71, 18,393.32 and 7,664.29 is: 10,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.71 : 18,393.32 = 7,664.29 : x
  2. Step 2: Convert to fraction form
    13,327.71/18,393.32 = 7,664.29/x
  3. Step 3: Cross multiply
    13,327.71x = 18,393.32 × 7,664.29
  4. Step 4: Simplify right side
    13,327.71x = 140,971,711.72
  5. Step 5: Solve for x
    x = 140,971,711.72/13,327.71
  6. Step 6: Final answer
    x = 10,577.34

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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.