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Finding the Fourth Proportional to 17,780.69, 24,533.19 and 10,610.97

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Solution

The fourth proportional to 17,780.69, 24,533.19 and 10,610.97 is: 14,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.69 : 24,533.19 = 10,610.97 : x
  2. Step 2: Convert to fraction form
    17,780.69/24,533.19 = 10,610.97/x
  3. Step 3: Cross multiply
    17,780.69x = 24,533.19 × 10,610.97
  4. Step 4: Simplify right side
    17,780.69x = 260,320,943.09
  5. Step 5: Solve for x
    x = 260,320,943.09/17,780.69
  6. Step 6: Final answer
    x = 14,640.66

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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.