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Finding the Fourth Proportional to 21,021.86, 31,532.11 and 8,538.19

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Solution

The fourth proportional to 21,021.86, 31,532.11 and 8,538.19 is: 12,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.86 : 31,532.11 = 8,538.19 : x
  2. Step 2: Convert to fraction form
    21,021.86/31,532.11 = 8,538.19/x
  3. Step 3: Cross multiply
    21,021.86x = 31,532.11 × 8,538.19
  4. Step 4: Simplify right side
    21,021.86x = 269,227,247.49
  5. Step 5: Solve for x
    x = 269,227,247.49/21,021.86
  6. Step 6: Final answer
    x = 12,807.01

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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.