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Finding the Fourth Proportional to 12,357.18, 18,530.01 and 7,164.54

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Solution

The fourth proportional to 12,357.18, 18,530.01 and 7,164.54 is: 10,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.18 : 18,530.01 = 7,164.54 : x
  2. Step 2: Convert to fraction form
    12,357.18/18,530.01 = 7,164.54/x
  3. Step 3: Cross multiply
    12,357.18x = 18,530.01 × 7,164.54
  4. Step 4: Simplify right side
    12,357.18x = 132,758,997.85
  5. Step 5: Solve for x
    x = 132,758,997.85/12,357.18
  6. Step 6: Final answer
    x = 10,743.47

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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.