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Finding the Fourth Proportional to 17,731.36, 24,468.95 and 9,665.09

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Solution

The fourth proportional to 17,731.36, 24,468.95 and 9,665.09 is: 13,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.36 : 24,468.95 = 9,665.09 : x
  2. Step 2: Convert to fraction form
    17,731.36/24,468.95 = 9,665.09/x
  3. Step 3: Cross multiply
    17,731.36x = 24,468.95 × 9,665.09
  4. Step 4: Simplify right side
    17,731.36x = 236,494,603.96
  5. Step 5: Solve for x
    x = 236,494,603.96/17,731.36
  6. Step 6: Final answer
    x = 13,337.65

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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.