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Finding the Fourth Proportional to 16,286.40, 24,428.52 and 4,600.80

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Solution

The fourth proportional to 16,286.40, 24,428.52 and 4,600.80 is: 6,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.40 : 24,428.52 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    16,286.40/24,428.52 = 4,600.80/x
  3. Step 3: Cross multiply
    16,286.40x = 24,428.52 × 4,600.80
  4. Step 4: Simplify right side
    16,286.40x = 112,390,734.82
  5. Step 5: Solve for x
    x = 112,390,734.82/16,286.40
  6. Step 6: Final answer
    x = 6,900.89

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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.