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Finding the Fourth Proportional to 17,665.69, 26,491.56 and 7,798

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Solution

The fourth proportional to 17,665.69, 26,491.56 and 7,798 is: 11,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.69 : 26,491.56 = 7,798 : x
  2. Step 2: Convert to fraction form
    17,665.69/26,491.56 = 7,798/x
  3. Step 3: Cross multiply
    17,665.69x = 26,491.56 × 7,798
  4. Step 4: Simplify right side
    17,665.69x = 206,581,184.88
  5. Step 5: Solve for x
    x = 206,581,184.88/17,665.69
  6. Step 6: Final answer
    x = 11,693.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.