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Finding the Fourth Proportional to 21,106.50, 31,632.36 and 8,612.22

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Solution

The fourth proportional to 21,106.50, 31,632.36 and 8,612.22 is: 12,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.50 : 31,632.36 = 8,612.22 : x
  2. Step 2: Convert to fraction form
    21,106.50/31,632.36 = 8,612.22/x
  3. Step 3: Cross multiply
    21,106.50x = 31,632.36 × 8,612.22
  4. Step 4: Simplify right side
    21,106.50x = 272,424,843.44
  5. Step 5: Solve for x
    x = 272,424,843.44/21,106.50
  6. Step 6: Final answer
    x = 12,907.15

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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.