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Finding the Fourth Proportional to 17,724.66, 26,603.50 and 8,965.74

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Solution

The fourth proportional to 17,724.66, 26,603.50 and 8,965.74 is: 13,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.66 : 26,603.50 = 8,965.74 : x
  2. Step 2: Convert to fraction form
    17,724.66/26,603.50 = 8,965.74/x
  3. Step 3: Cross multiply
    17,724.66x = 26,603.50 × 8,965.74
  4. Step 4: Simplify right side
    17,724.66x = 238,520,064.09
  5. Step 5: Solve for x
    x = 238,520,064.09/17,724.66
  6. Step 6: Final answer
    x = 13,456.96

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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.