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Finding the Fourth Proportional to 36,462.40, 54,701.34 and 11,509.66

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Solution

The fourth proportional to 36,462.40, 54,701.34 and 11,509.66 is: 17,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462.40 : 54,701.34 = 11,509.66 : x
  2. Step 2: Convert to fraction form
    36,462.40/54,701.34 = 11,509.66/x
  3. Step 3: Cross multiply
    36,462.40x = 54,701.34 × 11,509.66
  4. Step 4: Simplify right side
    36,462.40x = 629,593,824.94
  5. Step 5: Solve for x
    x = 629,593,824.94/36,462.40
  6. Step 6: Final answer
    x = 17,266.93

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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.