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Finding the Fourth Proportional to 16,705, 25,061.34 and 5,761

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Solution

The fourth proportional to 16,705, 25,061.34 and 5,761 is: 8,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705 : 25,061.34 = 5,761 : x
  2. Step 2: Convert to fraction form
    16,705/25,061.34 = 5,761/x
  3. Step 3: Cross multiply
    16,705x = 25,061.34 × 5,761
  4. Step 4: Simplify right side
    16,705x = 144,378,379.74
  5. Step 5: Solve for x
    x = 144,378,379.74/16,705
  6. Step 6: Final answer
    x = 8,642.82

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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.