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Finding the Fourth Proportional to 21,497.52, 32,258.73 and 9,016.43

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Solution

The fourth proportional to 21,497.52, 32,258.73 and 9,016.43 is: 13,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.52 : 32,258.73 = 9,016.43 : x
  2. Step 2: Convert to fraction form
    21,497.52/32,258.73 = 9,016.43/x
  3. Step 3: Cross multiply
    21,497.52x = 32,258.73 × 9,016.43
  4. Step 4: Simplify right side
    21,497.52x = 290,858,580.93
  5. Step 5: Solve for x
    x = 290,858,580.93/21,497.52
  6. Step 6: Final answer
    x = 13,529.87

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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.