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Finding the Fourth Proportional to 16,854, 25,292.34 and 10,105.08

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Solution

The fourth proportional to 16,854, 25,292.34 and 10,105.08 is: 15,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 25,292.34 = 10,105.08 : x
  2. Step 2: Convert to fraction form
    16,854/25,292.34 = 10,105.08/x
  3. Step 3: Cross multiply
    16,854x = 25,292.34 × 10,105.08
  4. Step 4: Simplify right side
    16,854x = 255,581,119.09
  5. Step 5: Solve for x
    x = 255,581,119.09/16,854
  6. Step 6: Final answer
    x = 15,164.42

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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.