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Finding the Fourth Proportional to 13,047.46, 18,005.34 and 7,382.12

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Solution

The fourth proportional to 13,047.46, 18,005.34 and 7,382.12 is: 10,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.46 : 18,005.34 = 7,382.12 : x
  2. Step 2: Convert to fraction form
    13,047.46/18,005.34 = 7,382.12/x
  3. Step 3: Cross multiply
    13,047.46x = 18,005.34 × 7,382.12
  4. Step 4: Simplify right side
    13,047.46x = 132,917,580.52
  5. Step 5: Solve for x
    x = 132,917,580.52/13,047.46
  6. Step 6: Final answer
    x = 10,187.24

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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.