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Finding the Fourth Proportional to 16,537.80, 24,809.43 and 7,662

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Solution

The fourth proportional to 16,537.80, 24,809.43 and 7,662 is: 11,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.80 : 24,809.43 = 7,662 : x
  2. Step 2: Convert to fraction form
    16,537.80/24,809.43 = 7,662/x
  3. Step 3: Cross multiply
    16,537.80x = 24,809.43 × 7,662
  4. Step 4: Simplify right side
    16,537.80x = 190,089,852.66
  5. Step 5: Solve for x
    x = 190,089,852.66/16,537.80
  6. Step 6: Final answer
    x = 11,494.26

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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.