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Finding the Fourth Proportional to 27,213.16, 40,834.86 and 14,733

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Solution

The fourth proportional to 27,213.16, 40,834.86 and 14,733 is: 22,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.16 : 40,834.86 = 14,733 : x
  2. Step 2: Convert to fraction form
    27,213.16/40,834.86 = 14,733/x
  3. Step 3: Cross multiply
    27,213.16x = 40,834.86 × 14,733
  4. Step 4: Simplify right side
    27,213.16x = 601,619,992.38
  5. Step 5: Solve for x
    x = 601,619,992.38/27,213.16
  6. Step 6: Final answer
    x = 22,107.69

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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.