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Finding the Fourth Proportional to 23,286.72, 34,932.16 and 6,646.44

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Solution

The fourth proportional to 23,286.72, 34,932.16 and 6,646.44 is: 9,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.72 : 34,932.16 = 6,646.44 : x
  2. Step 2: Convert to fraction form
    23,286.72/34,932.16 = 6,646.44/x
  3. Step 3: Cross multiply
    23,286.72x = 34,932.16 × 6,646.44
  4. Step 4: Simplify right side
    23,286.72x = 232,174,505.51
  5. Step 5: Solve for x
    x = 232,174,505.51/23,286.72
  6. Step 6: Final answer
    x = 9,970.25

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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.