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Finding the Fourth Proportional to 17,731.58, 24,468.46 and 9,773.87

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Solution

The fourth proportional to 17,731.58, 24,468.46 and 9,773.87 is: 13,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.58 : 24,468.46 = 9,773.87 : x
  2. Step 2: Convert to fraction form
    17,731.58/24,468.46 = 9,773.87/x
  3. Step 3: Cross multiply
    17,731.58x = 24,468.46 × 9,773.87
  4. Step 4: Simplify right side
    17,731.58x = 239,151,400.36
  5. Step 5: Solve for x
    x = 239,151,400.36/17,731.58
  6. Step 6: Final answer
    x = 13,487.32

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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.