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Finding the Fourth Proportional to 12,094.18, 18,142.71 and 7,412.02

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Solution

The fourth proportional to 12,094.18, 18,142.71 and 7,412.02 is: 11,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.18 : 18,142.71 = 7,412.02 : x
  2. Step 2: Convert to fraction form
    12,094.18/18,142.71 = 7,412.02/x
  3. Step 3: Cross multiply
    12,094.18x = 18,142.71 × 7,412.02
  4. Step 4: Simplify right side
    12,094.18x = 134,474,129.37
  5. Step 5: Solve for x
    x = 134,474,129.37/12,094.18
  6. Step 6: Final answer
    x = 11,118.91

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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.