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Finding the Fourth Proportional to 12,029.12, 18,035.04 and 5,099.84

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Solution

The fourth proportional to 12,029.12, 18,035.04 and 5,099.84 is: 7,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.12 : 18,035.04 = 5,099.84 : x
  2. Step 2: Convert to fraction form
    12,029.12/18,035.04 = 5,099.84/x
  3. Step 3: Cross multiply
    12,029.12x = 18,035.04 × 5,099.84
  4. Step 4: Simplify right side
    12,029.12x = 91,975,818.39
  5. Step 5: Solve for x
    x = 91,975,818.39/12,029.12
  6. Step 6: Final answer
    x = 7,646.10

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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.