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Finding the Fourth Proportional to 24,102.82, 33,261.87 and 13,492.63

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Solution

The fourth proportional to 24,102.82, 33,261.87 and 13,492.63 is: 18,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.82 : 33,261.87 = 13,492.63 : x
  2. Step 2: Convert to fraction form
    24,102.82/33,261.87 = 13,492.63/x
  3. Step 3: Cross multiply
    24,102.82x = 33,261.87 × 13,492.63
  4. Step 4: Simplify right side
    24,102.82x = 448,790,105.02
  5. Step 5: Solve for x
    x = 448,790,105.02/24,102.82
  6. Step 6: Final answer
    x = 18,619.82

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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.