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Finding the Fourth Proportional to 28,107.65, 38,790.05 and 16,172.80

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Solution

The fourth proportional to 28,107.65, 38,790.05 and 16,172.80 is: 22,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,107.65 : 38,790.05 = 16,172.80 : x
  2. Step 2: Convert to fraction form
    28,107.65/38,790.05 = 16,172.80/x
  3. Step 3: Cross multiply
    28,107.65x = 38,790.05 × 16,172.80
  4. Step 4: Simplify right side
    28,107.65x = 627,343,720.64
  5. Step 5: Solve for x
    x = 627,343,720.64/28,107.65
  6. Step 6: Final answer
    x = 22,319.32

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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.