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Finding the Fourth Proportional to 24,109.77, 33,269.01 and 13,901.94

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Solution

The fourth proportional to 24,109.77, 33,269.01 and 13,901.94 is: 19,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.77 : 33,269.01 = 13,901.94 : x
  2. Step 2: Convert to fraction form
    24,109.77/33,269.01 = 13,901.94/x
  3. Step 3: Cross multiply
    24,109.77x = 33,269.01 × 13,901.94
  4. Step 4: Simplify right side
    24,109.77x = 462,503,780.88
  5. Step 5: Solve for x
    x = 462,503,780.88/24,109.77
  6. Step 6: Final answer
    x = 19,183.25

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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.