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Finding the Fourth Proportional to 21,906.06, 32,874.93 and 8,762.10

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Solution

The fourth proportional to 21,906.06, 32,874.93 and 8,762.10 is: 13,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.06 : 32,874.93 = 8,762.10 : x
  2. Step 2: Convert to fraction form
    21,906.06/32,874.93 = 8,762.10/x
  3. Step 3: Cross multiply
    21,906.06x = 32,874.93 × 8,762.10
  4. Step 4: Simplify right side
    21,906.06x = 288,053,424.15
  5. Step 5: Solve for x
    x = 288,053,424.15/21,906.06
  6. Step 6: Final answer
    x = 13,149.49

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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.