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Finding the Fourth Proportional to 27,233.62, 40,853.91 and 9,705.22

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Solution

The fourth proportional to 27,233.62, 40,853.91 and 9,705.22 is: 14,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233.62 : 40,853.91 = 9,705.22 : x
  2. Step 2: Convert to fraction form
    27,233.62/40,853.91 = 9,705.22/x
  3. Step 3: Cross multiply
    27,233.62x = 40,853.91 × 9,705.22
  4. Step 4: Simplify right side
    27,233.62x = 396,496,184.41
  5. Step 5: Solve for x
    x = 396,496,184.41/27,233.62
  6. Step 6: Final answer
    x = 14,559.07

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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.