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Finding the Fourth Proportional to 17,728.80, 24,465.81 and 10,655.34

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Solution

The fourth proportional to 17,728.80, 24,465.81 and 10,655.34 is: 14,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.80 : 24,465.81 = 10,655.34 : x
  2. Step 2: Convert to fraction form
    17,728.80/24,465.81 = 10,655.34/x
  3. Step 3: Cross multiply
    17,728.80x = 24,465.81 × 10,655.34
  4. Step 4: Simplify right side
    17,728.80x = 260,691,523.93
  5. Step 5: Solve for x
    x = 260,691,523.93/17,728.80
  6. Step 6: Final answer
    x = 14,704.41

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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.