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Finding the Fourth Proportional to 16,854, 25,283.97 and 5,758.08

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Solution

The fourth proportional to 16,854, 25,283.97 and 5,758.08 is: 8,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 25,283.97 = 5,758.08 : x
  2. Step 2: Convert to fraction form
    16,854/25,283.97 = 5,758.08/x
  3. Step 3: Cross multiply
    16,854x = 25,283.97 × 5,758.08
  4. Step 4: Simplify right side
    16,854x = 145,587,121.98
  5. Step 5: Solve for x
    x = 145,587,121.98/16,854
  6. Step 6: Final answer
    x = 8,638.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.