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Finding the Fourth Proportional to 24,635.16, 33,996 and 14,024.64

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Solution

The fourth proportional to 24,635.16, 33,996 and 14,024.64 is: 19,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635.16 : 33,996 = 14,024.64 : x
  2. Step 2: Convert to fraction form
    24,635.16/33,996 = 14,024.64/x
  3. Step 3: Cross multiply
    24,635.16x = 33,996 × 14,024.64
  4. Step 4: Simplify right side
    24,635.16x = 476,781,661.44
  5. Step 5: Solve for x
    x = 476,781,661.44/24,635.16
  6. Step 6: Final answer
    x = 19,353.71

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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.