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Finding the Fourth Proportional to 12,324.33, 17,009.34 and 7,019.64

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Solution

The fourth proportional to 12,324.33, 17,009.34 and 7,019.64 is: 9,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.33 : 17,009.34 = 7,019.64 : x
  2. Step 2: Convert to fraction form
    12,324.33/17,009.34 = 7,019.64/x
  3. Step 3: Cross multiply
    12,324.33x = 17,009.34 × 7,019.64
  4. Step 4: Simplify right side
    12,324.33x = 119,399,443.44
  5. Step 5: Solve for x
    x = 119,399,443.44/12,324.33
  6. Step 6: Final answer
    x = 9,688.11

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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.