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Finding the Fourth Proportional to 20,896.01, 31,343.70 and 8,415.71

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Solution

The fourth proportional to 20,896.01, 31,343.70 and 8,415.71 is: 12,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.01 : 31,343.70 = 8,415.71 : x
  2. Step 2: Convert to fraction form
    20,896.01/31,343.70 = 8,415.71/x
  3. Step 3: Cross multiply
    20,896.01x = 31,343.70 × 8,415.71
  4. Step 4: Simplify right side
    20,896.01x = 263,779,332.81
  5. Step 5: Solve for x
    x = 263,779,332.81/20,896.01
  6. Step 6: Final answer
    x = 12,623.43

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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.