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Finding the Fourth Proportional to 13,736.50, 20,597.46 and 6,337.16

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Solution

The fourth proportional to 13,736.50, 20,597.46 and 6,337.16 is: 9,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.50 : 20,597.46 = 6,337.16 : x
  2. Step 2: Convert to fraction form
    13,736.50/20,597.46 = 6,337.16/x
  3. Step 3: Cross multiply
    13,736.50x = 20,597.46 × 6,337.16
  4. Step 4: Simplify right side
    13,736.50x = 130,529,399.61
  5. Step 5: Solve for x
    x = 130,529,399.61/13,736.50
  6. Step 6: Final answer
    x = 9,502.38

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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.