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Finding the Fourth Proportional to 12,094.10, 18,171.66 and 11,602.02

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Solution

The fourth proportional to 12,094.10, 18,171.66 and 11,602.02 is: 17,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.10 : 18,171.66 = 11,602.02 : x
  2. Step 2: Convert to fraction form
    12,094.10/18,171.66 = 11,602.02/x
  3. Step 3: Cross multiply
    12,094.10x = 18,171.66 × 11,602.02
  4. Step 4: Simplify right side
    12,094.10x = 210,827,962.75
  5. Step 5: Solve for x
    x = 210,827,962.75/12,094.10
  6. Step 6: Final answer
    x = 17,432.31

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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.