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Finding the Fourth Proportional to 15,106.77, 20,847.38 and 8,392.82

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Solution

The fourth proportional to 15,106.77, 20,847.38 and 8,392.82 is: 11,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.77 : 20,847.38 = 8,392.82 : x
  2. Step 2: Convert to fraction form
    15,106.77/20,847.38 = 8,392.82/x
  3. Step 3: Cross multiply
    15,106.77x = 20,847.38 × 8,392.82
  4. Step 4: Simplify right side
    15,106.77x = 174,968,161.61
  5. Step 5: Solve for x
    x = 174,968,161.61/15,106.77
  6. Step 6: Final answer
    x = 11,582.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.