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Finding the Fourth Proportional to 11,728.69, 17,470.88 and 11,105.40

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Solution

The fourth proportional to 11,728.69, 17,470.88 and 11,105.40 is: 16,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.69 : 17,470.88 = 11,105.40 : x
  2. Step 2: Convert to fraction form
    11,728.69/17,470.88 = 11,105.40/x
  3. Step 3: Cross multiply
    11,728.69x = 17,470.88 × 11,105.40
  4. Step 4: Simplify right side
    11,728.69x = 194,020,989.71
  5. Step 5: Solve for x
    x = 194,020,989.71/11,728.69
  6. Step 6: Final answer
    x = 16,542.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.