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Finding the Fourth Proportional to 13,654.20, 20,464.72 and 7,716.36

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Solution

The fourth proportional to 13,654.20, 20,464.72 and 7,716.36 is: 11,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.20 : 20,464.72 = 7,716.36 : x
  2. Step 2: Convert to fraction form
    13,654.20/20,464.72 = 7,716.36/x
  3. Step 3: Cross multiply
    13,654.20x = 20,464.72 × 7,716.36
  4. Step 4: Simplify right side
    13,654.20x = 157,913,146.82
  5. Step 5: Solve for x
    x = 157,913,146.82/13,654.20
  6. Step 6: Final answer
    x = 11,565.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.