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Finding the Fourth Proportional to 24,491.46, 33,798.06 and 13,313.46

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Solution

The fourth proportional to 24,491.46, 33,798.06 and 13,313.46 is: 18,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.46 : 33,798.06 = 13,313.46 : x
  2. Step 2: Convert to fraction form
    24,491.46/33,798.06 = 13,313.46/x
  3. Step 3: Cross multiply
    24,491.46x = 33,798.06 × 13,313.46
  4. Step 4: Simplify right side
    24,491.46x = 449,969,119.89
  5. Step 5: Solve for x
    x = 449,969,119.89/24,491.46
  6. Step 6: Final answer
    x = 18,372.49

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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.