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Finding the Fourth Proportional to 24,135.37, 36,184.52 and 9,142.27

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Solution

The fourth proportional to 24,135.37, 36,184.52 and 9,142.27 is: 13,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.37 : 36,184.52 = 9,142.27 : x
  2. Step 2: Convert to fraction form
    24,135.37/36,184.52 = 9,142.27/x
  3. Step 3: Cross multiply
    24,135.37x = 36,184.52 × 9,142.27
  4. Step 4: Simplify right side
    24,135.37x = 330,808,584.05
  5. Step 5: Solve for x
    x = 330,808,584.05/24,135.37
  6. Step 6: Final answer
    x = 13,706.38

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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.