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Finding the Fourth Proportional to 12,180.66, 18,271.35 and 4,786.98

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Solution

The fourth proportional to 12,180.66, 18,271.35 and 4,786.98 is: 7,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.66 : 18,271.35 = 4,786.98 : x
  2. Step 2: Convert to fraction form
    12,180.66/18,271.35 = 4,786.98/x
  3. Step 3: Cross multiply
    12,180.66x = 18,271.35 × 4,786.98
  4. Step 4: Simplify right side
    12,180.66x = 87,464,587.02
  5. Step 5: Solve for x
    x = 87,464,587.02/12,180.66
  6. Step 6: Final answer
    x = 7,180.61

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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.