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Finding the Fourth Proportional to 17,707.68, 26,558.45 and 6,614.47

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Solution

The fourth proportional to 17,707.68, 26,558.45 and 6,614.47 is: 9,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.68 : 26,558.45 = 6,614.47 : x
  2. Step 2: Convert to fraction form
    17,707.68/26,558.45 = 6,614.47/x
  3. Step 3: Cross multiply
    17,707.68x = 26,558.45 × 6,614.47
  4. Step 4: Simplify right side
    17,707.68x = 175,669,987.84
  5. Step 5: Solve for x
    x = 175,669,987.84/17,707.68
  6. Step 6: Final answer
    x = 9,920.55

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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.