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Finding the Fourth Proportional to 12,323.67, 17,019.10 and 7,849.44

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Solution

The fourth proportional to 12,323.67, 17,019.10 and 7,849.44 is: 10,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.67 : 17,019.10 = 7,849.44 : x
  2. Step 2: Convert to fraction form
    12,323.67/17,019.10 = 7,849.44/x
  3. Step 3: Cross multiply
    12,323.67x = 17,019.10 × 7,849.44
  4. Step 4: Simplify right side
    12,323.67x = 133,590,299.58
  5. Step 5: Solve for x
    x = 133,590,299.58/12,323.67
  6. Step 6: Final answer
    x = 10,840.14

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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.