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Finding the Fourth Proportional to 26,469.60, 36,528.46 and 14,534

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Solution

The fourth proportional to 26,469.60, 36,528.46 and 14,534 is: 20,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469.60 : 36,528.46 = 14,534 : x
  2. Step 2: Convert to fraction form
    26,469.60/36,528.46 = 14,534/x
  3. Step 3: Cross multiply
    26,469.60x = 36,528.46 × 14,534
  4. Step 4: Simplify right side
    26,469.60x = 530,904,637.64
  5. Step 5: Solve for x
    x = 530,904,637.64/26,469.60
  6. Step 6: Final answer
    x = 20,057.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.