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Finding the Fourth Proportional to 24,120, 36,179.64 and 8,533.80

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Solution

The fourth proportional to 24,120, 36,179.64 and 8,533.80 is: 12,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 36,179.64 = 8,533.80 : x
  2. Step 2: Convert to fraction form
    24,120/36,179.64 = 8,533.80/x
  3. Step 3: Cross multiply
    24,120x = 36,179.64 × 8,533.80
  4. Step 4: Simplify right side
    24,120x = 308,749,811.83
  5. Step 5: Solve for x
    x = 308,749,811.83/24,120
  6. Step 6: Final answer
    x = 12,800.57

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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.