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Finding the Fourth Proportional to 21,216.52, 31,816.02 and 9,209.44

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Solution

The fourth proportional to 21,216.52, 31,816.02 and 9,209.44 is: 13,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.52 : 31,816.02 = 9,209.44 : x
  2. Step 2: Convert to fraction form
    21,216.52/31,816.02 = 9,209.44/x
  3. Step 3: Cross multiply
    21,216.52x = 31,816.02 × 9,209.44
  4. Step 4: Simplify right side
    21,216.52x = 293,007,727.23
  5. Step 5: Solve for x
    x = 293,007,727.23/21,216.52
  6. Step 6: Final answer
    x = 13,810.36

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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.