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Finding the Fourth Proportional to 12,098.66, 18,134.91 and 4,700.90

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Solution

The fourth proportional to 12,098.66, 18,134.91 and 4,700.90 is: 7,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.66 : 18,134.91 = 4,700.90 : x
  2. Step 2: Convert to fraction form
    12,098.66/18,134.91 = 4,700.90/x
  3. Step 3: Cross multiply
    12,098.66x = 18,134.91 × 4,700.90
  4. Step 4: Simplify right side
    12,098.66x = 85,250,398.42
  5. Step 5: Solve for x
    x = 85,250,398.42/12,098.66
  6. Step 6: Final answer
    x = 7,046.27

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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.