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Finding the Fourth Proportional to 19,772.96, 29,654.64 and 9,236.32

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Solution

The fourth proportional to 19,772.96, 29,654.64 and 9,236.32 is: 13,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.96 : 29,654.64 = 9,236.32 : x
  2. Step 2: Convert to fraction form
    19,772.96/29,654.64 = 9,236.32/x
  3. Step 3: Cross multiply
    19,772.96x = 29,654.64 × 9,236.32
  4. Step 4: Simplify right side
    19,772.96x = 273,899,744.52
  5. Step 5: Solve for x
    x = 273,899,744.52/19,772.96
  6. Step 6: Final answer
    x = 13,852.24

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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.