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Finding the Fourth Proportional to 17,605.27, 26,406.61 and 6,506.78

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Solution

The fourth proportional to 17,605.27, 26,406.61 and 6,506.78 is: 9,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.27 : 26,406.61 = 6,506.78 : x
  2. Step 2: Convert to fraction form
    17,605.27/26,406.61 = 6,506.78/x
  3. Step 3: Cross multiply
    17,605.27x = 26,406.61 × 6,506.78
  4. Step 4: Simplify right side
    17,605.27x = 171,822,001.82
  5. Step 5: Solve for x
    x = 171,822,001.82/17,605.27
  6. Step 6: Final answer
    x = 9,759.69

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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.