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Finding the Fourth Proportional to 13,686.84, 20,533.44 and 4,327.80

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Solution

The fourth proportional to 13,686.84, 20,533.44 and 4,327.80 is: 6,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.84 : 20,533.44 = 4,327.80 : x
  2. Step 2: Convert to fraction form
    13,686.84/20,533.44 = 4,327.80/x
  3. Step 3: Cross multiply
    13,686.84x = 20,533.44 × 4,327.80
  4. Step 4: Simplify right side
    13,686.84x = 88,864,621.63
  5. Step 5: Solve for x
    x = 88,864,621.63/13,686.84
  6. Step 6: Final answer
    x = 6,492.71

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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.