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Finding the Fourth Proportional to 16,898, 23,319.24 and 9,446

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Solution

The fourth proportional to 16,898, 23,319.24 and 9,446 is: 13,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898 : 23,319.24 = 9,446 : x
  2. Step 2: Convert to fraction form
    16,898/23,319.24 = 9,446/x
  3. Step 3: Cross multiply
    16,898x = 23,319.24 × 9,446
  4. Step 4: Simplify right side
    16,898x = 220,273,541.04
  5. Step 5: Solve for x
    x = 220,273,541.04/16,898
  6. Step 6: Final answer
    x = 13,035.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.