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Finding the Fourth Proportional to 24,153.53, 36,219.02 and 9,163.40

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Solution

The fourth proportional to 24,153.53, 36,219.02 and 9,163.40 is: 13,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.53 : 36,219.02 = 9,163.40 : x
  2. Step 2: Convert to fraction form
    24,153.53/36,219.02 = 9,163.40/x
  3. Step 3: Cross multiply
    24,153.53x = 36,219.02 × 9,163.40
  4. Step 4: Simplify right side
    24,153.53x = 331,889,140.96
  5. Step 5: Solve for x
    x = 331,889,140.96/24,153.53
  6. Step 6: Final answer
    x = 13,740.82

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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.