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Finding the Fourth Proportional to 14,652.97, 20,232.65 and 13,533.44

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Solution

The fourth proportional to 14,652.97, 20,232.65 and 13,533.44 is: 18,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.97 : 20,232.65 = 13,533.44 : x
  2. Step 2: Convert to fraction form
    14,652.97/20,232.65 = 13,533.44/x
  3. Step 3: Cross multiply
    14,652.97x = 20,232.65 × 13,533.44
  4. Step 4: Simplify right side
    14,652.97x = 273,817,287.49
  5. Step 5: Solve for x
    x = 273,817,287.49/14,652.97
  6. Step 6: Final answer
    x = 18,686.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.