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Finding the Fourth Proportional to 21,496.72, 32,255 and 9,813.52

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Solution

The fourth proportional to 21,496.72, 32,255 and 9,813.52 is: 14,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.72 : 32,255 = 9,813.52 : x
  2. Step 2: Convert to fraction form
    21,496.72/32,255 = 9,813.52/x
  3. Step 3: Cross multiply
    21,496.72x = 32,255 × 9,813.52
  4. Step 4: Simplify right side
    21,496.72x = 316,535,087.60
  5. Step 5: Solve for x
    x = 316,535,087.60/21,496.72
  6. Step 6: Final answer
    x = 14,724.81

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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.