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Finding the Fourth Proportional to 12,056.57, 18,090.32 and 6,213.63

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Solution

The fourth proportional to 12,056.57, 18,090.32 and 6,213.63 is: 9,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.57 : 18,090.32 = 6,213.63 : x
  2. Step 2: Convert to fraction form
    12,056.57/18,090.32 = 6,213.63/x
  3. Step 3: Cross multiply
    12,056.57x = 18,090.32 × 6,213.63
  4. Step 4: Simplify right side
    12,056.57x = 112,406,523.99
  5. Step 5: Solve for x
    x = 112,406,523.99/12,056.57
  6. Step 6: Final answer
    x = 9,323.26

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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.