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Finding the Fourth Proportional to 12,142.66, 18,209.94 and 4,745.20

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Solution

The fourth proportional to 12,142.66, 18,209.94 and 4,745.20 is: 7,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.66 : 18,209.94 = 4,745.20 : x
  2. Step 2: Convert to fraction form
    12,142.66/18,209.94 = 4,745.20/x
  3. Step 3: Cross multiply
    12,142.66x = 18,209.94 × 4,745.20
  4. Step 4: Simplify right side
    12,142.66x = 86,409,807.29
  5. Step 5: Solve for x
    x = 86,409,807.29/12,142.66
  6. Step 6: Final answer
    x = 7,116.22

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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.