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Finding the Fourth Proportional to 21,323.09, 31,998.47 and 9,636.41

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Solution

The fourth proportional to 21,323.09, 31,998.47 and 9,636.41 is: 14,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.09 : 31,998.47 = 9,636.41 : x
  2. Step 2: Convert to fraction form
    21,323.09/31,998.47 = 9,636.41/x
  3. Step 3: Cross multiply
    21,323.09x = 31,998.47 × 9,636.41
  4. Step 4: Simplify right side
    21,323.09x = 308,350,376.29
  5. Step 5: Solve for x
    x = 308,350,376.29/21,323.09
  6. Step 6: Final answer
    x = 14,460.87

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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.