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Finding the Fourth Proportional to 24,146.96, 33,317.80 and 16,199.28

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Solution

The fourth proportional to 24,146.96, 33,317.80 and 16,199.28 is: 22,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.96 : 33,317.80 = 16,199.28 : x
  2. Step 2: Convert to fraction form
    24,146.96/33,317.80 = 16,199.28/x
  3. Step 3: Cross multiply
    24,146.96x = 33,317.80 × 16,199.28
  4. Step 4: Simplify right side
    24,146.96x = 539,724,371.18
  5. Step 5: Solve for x
    x = 539,724,371.18/24,146.96
  6. Step 6: Final answer
    x = 22,351.65

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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.