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Finding the Fourth Proportional to 24,539.28, 33,863.04 and 13,927.50

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Solution

The fourth proportional to 24,539.28, 33,863.04 and 13,927.50 is: 19,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.28 : 33,863.04 = 13,927.50 : x
  2. Step 2: Convert to fraction form
    24,539.28/33,863.04 = 13,927.50/x
  3. Step 3: Cross multiply
    24,539.28x = 33,863.04 × 13,927.50
  4. Step 4: Simplify right side
    24,539.28x = 471,627,489.60
  5. Step 5: Solve for x
    x = 471,627,489.60/24,539.28
  6. Step 6: Final answer
    x = 19,219.29

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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.