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Finding the Fourth Proportional to 24,491.37, 33,798.50 and 13,880.78

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Solution

The fourth proportional to 24,491.37, 33,798.50 and 13,880.78 is: 19,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.37 : 33,798.50 = 13,880.78 : x
  2. Step 2: Convert to fraction form
    24,491.37/33,798.50 = 13,880.78/x
  3. Step 3: Cross multiply
    24,491.37x = 33,798.50 × 13,880.78
  4. Step 4: Simplify right side
    24,491.37x = 469,149,542.83
  5. Step 5: Solve for x
    x = 469,149,542.83/24,491.37
  6. Step 6: Final answer
    x = 19,155.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.