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Finding the Fourth Proportional to 12,424.73, 17,141.53 and 7,389.16

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Solution

The fourth proportional to 12,424.73, 17,141.53 and 7,389.16 is: 10,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.73 : 17,141.53 = 7,389.16 : x
  2. Step 2: Convert to fraction form
    12,424.73/17,141.53 = 7,389.16/x
  3. Step 3: Cross multiply
    12,424.73x = 17,141.53 × 7,389.16
  4. Step 4: Simplify right side
    12,424.73x = 126,661,507.81
  5. Step 5: Solve for x
    x = 126,661,507.81/12,424.73
  6. Step 6: Final answer
    x = 10,194.31

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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.