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Finding the Fourth Proportional to 12,142.62, 18,209.54 and 4,242.93

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Solution

The fourth proportional to 12,142.62, 18,209.54 and 4,242.93 is: 6,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.62 : 18,209.54 = 4,242.93 : x
  2. Step 2: Convert to fraction form
    12,142.62/18,209.54 = 4,242.93/x
  3. Step 3: Cross multiply
    12,142.62x = 18,209.54 × 4,242.93
  4. Step 4: Simplify right side
    12,142.62x = 77,261,782.34
  5. Step 5: Solve for x
    x = 77,261,782.34/12,142.62
  6. Step 6: Final answer
    x = 6,362.86

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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.