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Finding the Fourth Proportional to 16,798, 25,197.24 and 5,854

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Solution

The fourth proportional to 16,798, 25,197.24 and 5,854 is: 8,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798 : 25,197.24 = 5,854 : x
  2. Step 2: Convert to fraction form
    16,798/25,197.24 = 5,854/x
  3. Step 3: Cross multiply
    16,798x = 25,197.24 × 5,854
  4. Step 4: Simplify right side
    16,798x = 147,504,642.96
  5. Step 5: Solve for x
    x = 147,504,642.96/16,798
  6. Step 6: Final answer
    x = 8,781.08

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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.