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Finding the Fourth Proportional to 13,864.68, 20,803.50 and 8,026.20

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Solution

The fourth proportional to 13,864.68, 20,803.50 and 8,026.20 is: 12,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.68 : 20,803.50 = 8,026.20 : x
  2. Step 2: Convert to fraction form
    13,864.68/20,803.50 = 8,026.20/x
  3. Step 3: Cross multiply
    13,864.68x = 20,803.50 × 8,026.20
  4. Step 4: Simplify right side
    13,864.68x = 166,973,051.70
  5. Step 5: Solve for x
    x = 166,973,051.70/13,864.68
  6. Step 6: Final answer
    x = 12,043.05

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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.