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Finding the Fourth Proportional to 17,643.78, 24,349.98 and 9,687.54

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Solution

The fourth proportional to 17,643.78, 24,349.98 and 9,687.54 is: 13,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.78 : 24,349.98 = 9,687.54 : x
  2. Step 2: Convert to fraction form
    17,643.78/24,349.98 = 9,687.54/x
  3. Step 3: Cross multiply
    17,643.78x = 24,349.98 × 9,687.54
  4. Step 4: Simplify right side
    17,643.78x = 235,891,405.25
  5. Step 5: Solve for x
    x = 235,891,405.25/17,643.78
  6. Step 6: Final answer
    x = 13,369.66

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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.