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Finding the Fourth Proportional to 12,007.68, 18,021.12 and 5,434.47

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Solution

The fourth proportional to 12,007.68, 18,021.12 and 5,434.47 is: 8,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.68 : 18,021.12 = 5,434.47 : x
  2. Step 2: Convert to fraction form
    12,007.68/18,021.12 = 5,434.47/x
  3. Step 3: Cross multiply
    12,007.68x = 18,021.12 × 5,434.47
  4. Step 4: Simplify right side
    12,007.68x = 97,935,236.01
  5. Step 5: Solve for x
    x = 97,935,236.01/12,007.68
  6. Step 6: Final answer
    x = 8,156.05

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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.