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Finding the Fourth Proportional to 17,541.69, 26,315.97 and 6,448.47

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Solution

The fourth proportional to 17,541.69, 26,315.97 and 6,448.47 is: 9,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.69 : 26,315.97 = 6,448.47 : x
  2. Step 2: Convert to fraction form
    17,541.69/26,315.97 = 6,448.47/x
  3. Step 3: Cross multiply
    17,541.69x = 26,315.97 × 6,448.47
  4. Step 4: Simplify right side
    17,541.69x = 169,697,743.07
  5. Step 5: Solve for x
    x = 169,697,743.07/17,541.69
  6. Step 6: Final answer
    x = 9,673.97

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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.