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Finding the Fourth Proportional to 13,756.68, 20,642.34 and 8,220.84

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Solution

The fourth proportional to 13,756.68, 20,642.34 and 8,220.84 is: 12,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.68 : 20,642.34 = 8,220.84 : x
  2. Step 2: Convert to fraction form
    13,756.68/20,642.34 = 8,220.84/x
  3. Step 3: Cross multiply
    13,756.68x = 20,642.34 × 8,220.84
  4. Step 4: Simplify right side
    13,756.68x = 169,697,374.37
  5. Step 5: Solve for x
    x = 169,697,374.37/13,756.68
  6. Step 6: Final answer
    x = 12,335.63

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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.