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Finding the Fourth Proportional to 20,664.90, 31,009.50 and 8,186.13

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Solution

The fourth proportional to 20,664.90, 31,009.50 and 8,186.13 is: 12,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664.90 : 31,009.50 = 8,186.13 : x
  2. Step 2: Convert to fraction form
    20,664.90/31,009.50 = 8,186.13/x
  3. Step 3: Cross multiply
    20,664.90x = 31,009.50 × 8,186.13
  4. Step 4: Simplify right side
    20,664.90x = 253,847,798.24
  5. Step 5: Solve for x
    x = 253,847,798.24/20,664.90
  6. Step 6: Final answer
    x = 12,284.01

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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.