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Finding the Fourth Proportional to 12,057.68, 18,090.36 and 5,134.16

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Solution

The fourth proportional to 12,057.68, 18,090.36 and 5,134.16 is: 7,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.68 : 18,090.36 = 5,134.16 : x
  2. Step 2: Convert to fraction form
    12,057.68/18,090.36 = 5,134.16/x
  3. Step 3: Cross multiply
    12,057.68x = 18,090.36 × 5,134.16
  4. Step 4: Simplify right side
    12,057.68x = 92,878,802.70
  5. Step 5: Solve for x
    x = 92,878,802.70/12,057.68
  6. Step 6: Final answer
    x = 7,702.88

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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.