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Finding the Fourth Proportional to 13,322.22, 18,385.62 and 7,657.89

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Solution

The fourth proportional to 13,322.22, 18,385.62 and 7,657.89 is: 10,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.22 : 18,385.62 = 7,657.89 : x
  2. Step 2: Convert to fraction form
    13,322.22/18,385.62 = 7,657.89/x
  3. Step 3: Cross multiply
    13,322.22x = 18,385.62 × 7,657.89
  4. Step 4: Simplify right side
    13,322.22x = 140,795,055.54
  5. Step 5: Solve for x
    x = 140,795,055.54/13,322.22
  6. Step 6: Final answer
    x = 10,568.44

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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.