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Finding the Fourth Proportional to 16,274.62, 24,409.05 and 4,587.76

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Solution

The fourth proportional to 16,274.62, 24,409.05 and 4,587.76 is: 6,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.62 : 24,409.05 = 4,587.76 : x
  2. Step 2: Convert to fraction form
    16,274.62/24,409.05 = 4,587.76/x
  3. Step 3: Cross multiply
    16,274.62x = 24,409.05 × 4,587.76
  4. Step 4: Simplify right side
    16,274.62x = 111,982,863.23
  5. Step 5: Solve for x
    x = 111,982,863.23/16,274.62
  6. Step 6: Final answer
    x = 6,880.83

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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.