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Finding the Fourth Proportional to 27,214.16, 40,836.36 and 14,734

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Solution

The fourth proportional to 27,214.16, 40,836.36 and 14,734 is: 22,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.16 : 40,836.36 = 14,734 : x
  2. Step 2: Convert to fraction form
    27,214.16/40,836.36 = 14,734/x
  3. Step 3: Cross multiply
    27,214.16x = 40,836.36 × 14,734
  4. Step 4: Simplify right side
    27,214.16x = 601,682,928.24
  5. Step 5: Solve for x
    x = 601,682,928.24/27,214.16
  6. Step 6: Final answer
    x = 22,109.19

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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.