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Finding the Fourth Proportional to 17,707.20, 26,561.76 and 6,616.80

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Solution

The fourth proportional to 17,707.20, 26,561.76 and 6,616.80 is: 9,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.20 : 26,561.76 = 6,616.80 : x
  2. Step 2: Convert to fraction form
    17,707.20/26,561.76 = 6,616.80/x
  3. Step 3: Cross multiply
    17,707.20x = 26,561.76 × 6,616.80
  4. Step 4: Simplify right side
    17,707.20x = 175,753,853.57
  5. Step 5: Solve for x
    x = 175,753,853.57/17,707.20
  6. Step 6: Final answer
    x = 9,925.56

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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.