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Finding the Fourth Proportional to 24,511.32, 33,832.86 and 14,443.02

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Solution

The fourth proportional to 24,511.32, 33,832.86 and 14,443.02 is: 19,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.32 : 33,832.86 = 14,443.02 : x
  2. Step 2: Convert to fraction form
    24,511.32/33,832.86 = 14,443.02/x
  3. Step 3: Cross multiply
    24,511.32x = 33,832.86 × 14,443.02
  4. Step 4: Simplify right side
    24,511.32x = 488,648,673.64
  5. Step 5: Solve for x
    x = 488,648,673.64/24,511.32
  6. Step 6: Final answer
    x = 19,935.63

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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.