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Finding the Fourth Proportional to 24,431.77, 33,716.60 and 13,821.19

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Solution

The fourth proportional to 24,431.77, 33,716.60 and 13,821.19 is: 19,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.77 : 33,716.60 = 13,821.19 : x
  2. Step 2: Convert to fraction form
    24,431.77/33,716.60 = 13,821.19/x
  3. Step 3: Cross multiply
    24,431.77x = 33,716.60 × 13,821.19
  4. Step 4: Simplify right side
    24,431.77x = 466,003,534.75
  5. Step 5: Solve for x
    x = 466,003,534.75/24,431.77
  6. Step 6: Final answer
    x = 19,073.67

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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.