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Finding the Fourth Proportional to 13,047.94, 18,006.17 and 7,382.57

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Solution

The fourth proportional to 13,047.94, 18,006.17 and 7,382.57 is: 10,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.94 : 18,006.17 = 7,382.57 : x
  2. Step 2: Convert to fraction form
    13,047.94/18,006.17 = 7,382.57/x
  3. Step 3: Cross multiply
    13,047.94x = 18,006.17 × 7,382.57
  4. Step 4: Simplify right side
    13,047.94x = 132,931,810.46
  5. Step 5: Solve for x
    x = 132,931,810.46/13,047.94
  6. Step 6: Final answer
    x = 10,187.95

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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.