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Finding the Fourth Proportional to 12,382.43, 17,089.93 and 7,349.42

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Solution

The fourth proportional to 12,382.43, 17,089.93 and 7,349.42 is: 10,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.43 : 17,089.93 = 7,349.42 : x
  2. Step 2: Convert to fraction form
    12,382.43/17,089.93 = 7,349.42/x
  3. Step 3: Cross multiply
    12,382.43x = 17,089.93 × 7,349.42
  4. Step 4: Simplify right side
    12,382.43x = 125,601,073.34
  5. Step 5: Solve for x
    x = 125,601,073.34/12,382.43
  6. Step 6: Final answer
    x = 10,143.49

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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.