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Finding the Fourth Proportional to 24,577.28, 33,917 and 13,399.28

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Solution

The fourth proportional to 24,577.28, 33,917 and 13,399.28 is: 18,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.28 : 33,917 = 13,399.28 : x
  2. Step 2: Convert to fraction form
    24,577.28/33,917 = 13,399.28/x
  3. Step 3: Cross multiply
    24,577.28x = 33,917 × 13,399.28
  4. Step 4: Simplify right side
    24,577.28x = 454,463,379.76
  5. Step 5: Solve for x
    x = 454,463,379.76/24,577.28
  6. Step 6: Final answer
    x = 18,491.20

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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.