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Finding the Fourth Proportional to 12,533.19, 18,800.14 and 3,768.08

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Solution

The fourth proportional to 12,533.19, 18,800.14 and 3,768.08 is: 5,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.19 : 18,800.14 = 3,768.08 : x
  2. Step 2: Convert to fraction form
    12,533.19/18,800.14 = 3,768.08/x
  3. Step 3: Cross multiply
    12,533.19x = 18,800.14 × 3,768.08
  4. Step 4: Simplify right side
    12,533.19x = 70,840,431.53
  5. Step 5: Solve for x
    x = 70,840,431.53/12,533.19
  6. Step 6: Final answer
    x = 5,652.23

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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.