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Finding the Fourth Proportional to 28,116.89, 38,800.16 and 16,180.65

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Solution

The fourth proportional to 28,116.89, 38,800.16 and 16,180.65 is: 22,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,116.89 : 38,800.16 = 16,180.65 : x
  2. Step 2: Convert to fraction form
    28,116.89/38,800.16 = 16,180.65/x
  3. Step 3: Cross multiply
    28,116.89x = 38,800.16 × 16,180.65
  4. Step 4: Simplify right side
    28,116.89x = 627,811,728.00
  5. Step 5: Solve for x
    x = 627,811,728.00/28,116.89
  6. Step 6: Final answer
    x = 22,328.64

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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.