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Finding the Fourth Proportional to 12,174.90, 18,262.25 and 3,854.93

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Solution

The fourth proportional to 12,174.90, 18,262.25 and 3,854.93 is: 5,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.90 : 18,262.25 = 3,854.93 : x
  2. Step 2: Convert to fraction form
    12,174.90/18,262.25 = 3,854.93/x
  3. Step 3: Cross multiply
    12,174.90x = 18,262.25 × 3,854.93
  4. Step 4: Simplify right side
    12,174.90x = 70,399,584.81
  5. Step 5: Solve for x
    x = 70,399,584.81/12,174.90
  6. Step 6: Final answer
    x = 5,782.35

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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.