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Finding the Fourth Proportional to 17,101, 25,652.94 and 4,789

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Solution

The fourth proportional to 17,101, 25,652.94 and 4,789 is: 7,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101 : 25,652.94 = 4,789 : x
  2. Step 2: Convert to fraction form
    17,101/25,652.94 = 4,789/x
  3. Step 3: Cross multiply
    17,101x = 25,652.94 × 4,789
  4. Step 4: Simplify right side
    17,101x = 122,851,929.66
  5. Step 5: Solve for x
    x = 122,851,929.66/17,101
  6. Step 6: Final answer
    x = 7,183.90

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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.