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Finding the Fourth Proportional to 24,447.34, 33,738.14 and 14,376.71

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Solution

The fourth proportional to 24,447.34, 33,738.14 and 14,376.71 is: 19,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.34 : 33,738.14 = 14,376.71 : x
  2. Step 2: Convert to fraction form
    24,447.34/33,738.14 = 14,376.71/x
  3. Step 3: Cross multiply
    24,447.34x = 33,738.14 × 14,376.71
  4. Step 4: Simplify right side
    24,447.34x = 485,043,382.84
  5. Step 5: Solve for x
    x = 485,043,382.84/24,447.34
  6. Step 6: Final answer
    x = 19,840.33

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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.