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Finding the Fourth Proportional to 12,102.42, 18,150.06 and 4,705.20

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Solution

The fourth proportional to 12,102.42, 18,150.06 and 4,705.20 is: 7,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.42 : 18,150.06 = 4,705.20 : x
  2. Step 2: Convert to fraction form
    12,102.42/18,150.06 = 4,705.20/x
  3. Step 3: Cross multiply
    12,102.42x = 18,150.06 × 4,705.20
  4. Step 4: Simplify right side
    12,102.42x = 85,399,662.31
  5. Step 5: Solve for x
    x = 85,399,662.31/12,102.42
  6. Step 6: Final answer
    x = 7,056.41

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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.