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Finding the Fourth Proportional to 18,533.25, 27,807.60 and 7,447.83

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Solution

The fourth proportional to 18,533.25, 27,807.60 and 7,447.83 is: 11,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.25 : 27,807.60 = 7,447.83 : x
  2. Step 2: Convert to fraction form
    18,533.25/27,807.60 = 7,447.83/x
  3. Step 3: Cross multiply
    18,533.25x = 27,807.60 × 7,447.83
  4. Step 4: Simplify right side
    18,533.25x = 207,106,277.51
  5. Step 5: Solve for x
    x = 207,106,277.51/18,533.25
  6. Step 6: Final answer
    x = 11,174.85

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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.