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Finding the Fourth Proportional to 21,328.82, 31,998.27 and 9,642.02

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Solution

The fourth proportional to 21,328.82, 31,998.27 and 9,642.02 is: 14,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.82 : 31,998.27 = 9,642.02 : x
  2. Step 2: Convert to fraction form
    21,328.82/31,998.27 = 9,642.02/x
  3. Step 3: Cross multiply
    21,328.82x = 31,998.27 × 9,642.02
  4. Step 4: Simplify right side
    21,328.82x = 308,527,959.31
  5. Step 5: Solve for x
    x = 308,527,959.31/21,328.82
  6. Step 6: Final answer
    x = 14,465.31

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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.