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Finding the Fourth Proportional to 12,049.34, 18,073.98 and 3,284.24

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Solution

The fourth proportional to 12,049.34, 18,073.98 and 3,284.24 is: 4,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.34 : 18,073.98 = 3,284.24 : x
  2. Step 2: Convert to fraction form
    12,049.34/18,073.98 = 3,284.24/x
  3. Step 3: Cross multiply
    12,049.34x = 18,073.98 × 3,284.24
  4. Step 4: Simplify right side
    12,049.34x = 59,359,197.71
  5. Step 5: Solve for x
    x = 59,359,197.71/12,049.34
  6. Step 6: Final answer
    x = 4,926.35

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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.