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Finding the Fourth Proportional to 12,090.90, 18,138.18 and 4,297.86

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Solution

The fourth proportional to 12,090.90, 18,138.18 and 4,297.86 is: 6,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.90 : 18,138.18 = 4,297.86 : x
  2. Step 2: Convert to fraction form
    12,090.90/18,138.18 = 4,297.86/x
  3. Step 3: Cross multiply
    12,090.90x = 18,138.18 × 4,297.86
  4. Step 4: Simplify right side
    12,090.90x = 77,955,358.29
  5. Step 5: Solve for x
    x = 77,955,358.29/12,090.90
  6. Step 6: Final answer
    x = 6,447.44

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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.