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Finding the Fourth Proportional to 17,096.27, 23,594.90 and 10,382.18

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Solution

The fourth proportional to 17,096.27, 23,594.90 and 10,382.18 is: 14,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.27 : 23,594.90 = 10,382.18 : x
  2. Step 2: Convert to fraction form
    17,096.27/23,594.90 = 10,382.18/x
  3. Step 3: Cross multiply
    17,096.27x = 23,594.90 × 10,382.18
  4. Step 4: Simplify right side
    17,096.27x = 244,966,329.00
  5. Step 5: Solve for x
    x = 244,966,329.00/17,096.27
  6. Step 6: Final answer
    x = 14,328.65

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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.