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Finding the Fourth Proportional to 21,017.81, 31,539.13 and 8,536.86

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Solution

The fourth proportional to 21,017.81, 31,539.13 and 8,536.86 is: 12,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017.81 : 31,539.13 = 8,536.86 : x
  2. Step 2: Convert to fraction form
    21,017.81/31,539.13 = 8,536.86/x
  3. Step 3: Cross multiply
    21,017.81x = 31,539.13 × 8,536.86
  4. Step 4: Simplify right side
    21,017.81x = 269,245,115.99
  5. Step 5: Solve for x
    x = 269,245,115.99/21,017.81
  6. Step 6: Final answer
    x = 12,810.33

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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.