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Finding the Fourth Proportional to 16,384.46, 24,579.92 and 5,293.94

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Solution

The fourth proportional to 16,384.46, 24,579.92 and 5,293.94 is: 7,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.46 : 24,579.92 = 5,293.94 : x
  2. Step 2: Convert to fraction form
    16,384.46/24,579.92 = 5,293.94/x
  3. Step 3: Cross multiply
    16,384.46x = 24,579.92 × 5,293.94
  4. Step 4: Simplify right side
    16,384.46x = 130,124,621.68
  5. Step 5: Solve for x
    x = 130,124,621.68/16,384.46
  6. Step 6: Final answer
    x = 7,941.95

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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.