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Finding the Fourth Proportional to 16,477.94, 24,711.79 and 5,946.59

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Solution

The fourth proportional to 16,477.94, 24,711.79 and 5,946.59 is: 8,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.94 : 24,711.79 = 5,946.59 : x
  2. Step 2: Convert to fraction form
    16,477.94/24,711.79 = 5,946.59/x
  3. Step 3: Cross multiply
    16,477.94x = 24,711.79 × 5,946.59
  4. Step 4: Simplify right side
    16,477.94x = 146,950,883.30
  5. Step 5: Solve for x
    x = 146,950,883.30/16,477.94
  6. Step 6: Final answer
    x = 8,918.04

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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.