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Finding the Fourth Proportional to 26,469, 36,527.80 and 14,533.16

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Solution

The fourth proportional to 26,469, 36,527.80 and 14,533.16 is: 20,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 36,527.80 = 14,533.16 : x
  2. Step 2: Convert to fraction form
    26,469/36,527.80 = 14,533.16/x
  3. Step 3: Cross multiply
    26,469x = 36,527.80 × 14,533.16
  4. Step 4: Simplify right side
    26,469x = 530,864,361.85
  5. Step 5: Solve for x
    x = 530,864,361.85/26,469
  6. Step 6: Final answer
    x = 20,056.08

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Why These Related Problems?

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