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Finding the Fourth Proportional to 17,728.55, 24,465.40 and 9,662.21

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Solution

The fourth proportional to 17,728.55, 24,465.40 and 9,662.21 is: 13,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.55 : 24,465.40 = 9,662.21 : x
  2. Step 2: Convert to fraction form
    17,728.55/24,465.40 = 9,662.21/x
  3. Step 3: Cross multiply
    17,728.55x = 24,465.40 × 9,662.21
  4. Step 4: Simplify right side
    17,728.55x = 236,389,832.53
  5. Step 5: Solve for x
    x = 236,389,832.53/17,728.55
  6. Step 6: Final answer
    x = 13,333.85

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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.