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Finding the Fourth Proportional to 13,322.26, 18,385.79 and 7,657.93

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Solution

The fourth proportional to 13,322.26, 18,385.79 and 7,657.93 is: 10,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.26 : 18,385.79 = 7,657.93 : x
  2. Step 2: Convert to fraction form
    13,322.26/18,385.79 = 7,657.93/x
  3. Step 3: Cross multiply
    13,322.26x = 18,385.79 × 7,657.93
  4. Step 4: Simplify right side
    13,322.26x = 140,797,092.81
  5. Step 5: Solve for x
    x = 140,797,092.81/13,322.26
  6. Step 6: Final answer
    x = 10,568.56

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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.