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Finding the Fourth Proportional to 12,181.70, 18,261.51 and 4,385

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Solution

The fourth proportional to 12,181.70, 18,261.51 and 4,385 is: 6,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.70 : 18,261.51 = 4,385 : x
  2. Step 2: Convert to fraction form
    12,181.70/18,261.51 = 4,385/x
  3. Step 3: Cross multiply
    12,181.70x = 18,261.51 × 4,385
  4. Step 4: Simplify right side
    12,181.70x = 80,076,721.35
  5. Step 5: Solve for x
    x = 80,076,721.35/12,181.70
  6. Step 6: Final answer
    x = 6,573.53

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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.