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Finding the Fourth Proportional to 16,477.57, 24,711.23 and 5,946.22

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Solution

The fourth proportional to 16,477.57, 24,711.23 and 5,946.22 is: 8,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.57 : 24,711.23 = 5,946.22 : x
  2. Step 2: Convert to fraction form
    16,477.57/24,711.23 = 5,946.22/x
  3. Step 3: Cross multiply
    16,477.57x = 24,711.23 × 5,946.22
  4. Step 4: Simplify right side
    16,477.57x = 146,938,286.49
  5. Step 5: Solve for x
    x = 146,938,286.49/16,477.57
  6. Step 6: Final answer
    x = 8,917.48

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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.