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Finding the Fourth Proportional to 16,051.10, 22,150.57 and 8,977.07

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Solution

The fourth proportional to 16,051.10, 22,150.57 and 8,977.07 is: 12,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.10 : 22,150.57 = 8,977.07 : x
  2. Step 2: Convert to fraction form
    16,051.10/22,150.57 = 8,977.07/x
  3. Step 3: Cross multiply
    16,051.10x = 22,150.57 × 8,977.07
  4. Step 4: Simplify right side
    16,051.10x = 198,847,106.68
  5. Step 5: Solve for x
    x = 198,847,106.68/16,051.10
  6. Step 6: Final answer
    x = 12,388.38

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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.