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Finding the Fourth Proportional to 11,770.69, 17,552.20 and 10,137.73

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Solution

The fourth proportional to 11,770.69, 17,552.20 and 10,137.73 is: 15,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.69 : 17,552.20 = 10,137.73 : x
  2. Step 2: Convert to fraction form
    11,770.69/17,552.20 = 10,137.73/x
  3. Step 3: Cross multiply
    11,770.69x = 17,552.20 × 10,137.73
  4. Step 4: Simplify right side
    11,770.69x = 177,939,464.51
  5. Step 5: Solve for x
    x = 177,939,464.51/11,770.69
  6. Step 6: Final answer
    x = 15,117.17

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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.