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Finding the Fourth Proportional to 13,382.31, 18,466.25 and 7,412.87

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Solution

The fourth proportional to 13,382.31, 18,466.25 and 7,412.87 is: 10,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.31 : 18,466.25 = 7,412.87 : x
  2. Step 2: Convert to fraction form
    13,382.31/18,466.25 = 7,412.87/x
  3. Step 3: Cross multiply
    13,382.31x = 18,466.25 × 7,412.87
  4. Step 4: Simplify right side
    13,382.31x = 136,887,827.41
  5. Step 5: Solve for x
    x = 136,887,827.41/13,382.31
  6. Step 6: Final answer
    x = 10,229.01

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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.