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Finding the Fourth Proportional to 13,818.01, 20,731.05 and 4,457.82

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Solution

The fourth proportional to 13,818.01, 20,731.05 and 4,457.82 is: 6,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.01 : 20,731.05 = 4,457.82 : x
  2. Step 2: Convert to fraction form
    13,818.01/20,731.05 = 4,457.82/x
  3. Step 3: Cross multiply
    13,818.01x = 20,731.05 × 4,457.82
  4. Step 4: Simplify right side
    13,818.01x = 92,415,289.31
  5. Step 5: Solve for x
    x = 92,415,289.31/13,818.01
  6. Step 6: Final answer
    x = 6,688.03

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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.