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Finding the Fourth Proportional to 26,463.98, 36,518 and 14,527.28

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Solution

The fourth proportional to 26,463.98, 36,518 and 14,527.28 is: 20,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,463.98 : 36,518 = 14,527.28 : x
  2. Step 2: Convert to fraction form
    26,463.98/36,518 = 14,527.28/x
  3. Step 3: Cross multiply
    26,463.98x = 36,518 × 14,527.28
  4. Step 4: Simplify right side
    26,463.98x = 530,507,211.04
  5. Step 5: Solve for x
    x = 530,507,211.04/26,463.98
  6. Step 6: Final answer
    x = 20,046.39

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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.