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Finding the Fourth Proportional to 12,323.43, 17,018.76 and 7,849.19

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Solution

The fourth proportional to 12,323.43, 17,018.76 and 7,849.19 is: 10,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.43 : 17,018.76 = 7,849.19 : x
  2. Step 2: Convert to fraction form
    12,323.43/17,018.76 = 7,849.19/x
  3. Step 3: Cross multiply
    12,323.43x = 17,018.76 × 7,849.19
  4. Step 4: Simplify right side
    12,323.43x = 133,583,395.71
  5. Step 5: Solve for x
    x = 133,583,395.71/12,323.43
  6. Step 6: Final answer
    x = 10,839.79

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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.