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Finding the Fourth Proportional to 21,228.81, 31,832.23 and 9,532.05

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Solution

The fourth proportional to 21,228.81, 31,832.23 and 9,532.05 is: 14,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.81 : 31,832.23 = 9,532.05 : x
  2. Step 2: Convert to fraction form
    21,228.81/31,832.23 = 9,532.05/x
  3. Step 3: Cross multiply
    21,228.81x = 31,832.23 × 9,532.05
  4. Step 4: Simplify right side
    21,228.81x = 303,426,407.97
  5. Step 5: Solve for x
    x = 303,426,407.97/21,228.81
  6. Step 6: Final answer
    x = 14,293.14

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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.