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Finding the Fourth Proportional to 12,357.12, 18,533.79 and 3,590.22

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Solution

The fourth proportional to 12,357.12, 18,533.79 and 3,590.22 is: 5,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.12 : 18,533.79 = 3,590.22 : x
  2. Step 2: Convert to fraction form
    12,357.12/18,533.79 = 3,590.22/x
  3. Step 3: Cross multiply
    12,357.12x = 18,533.79 × 3,590.22
  4. Step 4: Simplify right side
    12,357.12x = 66,540,383.53
  5. Step 5: Solve for x
    x = 66,540,383.53/12,357.12
  6. Step 6: Final answer
    x = 5,384.78

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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.