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Finding the Fourth Proportional to 20,234.72, 27,919.06 and 12,276.72

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Solution

The fourth proportional to 20,234.72, 27,919.06 and 12,276.72 is: 16,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.72 : 27,919.06 = 12,276.72 : x
  2. Step 2: Convert to fraction form
    20,234.72/27,919.06 = 12,276.72/x
  3. Step 3: Cross multiply
    20,234.72x = 27,919.06 × 12,276.72
  4. Step 4: Simplify right side
    20,234.72x = 342,754,482.28
  5. Step 5: Solve for x
    x = 342,754,482.28/20,234.72
  6. Step 6: Final answer
    x = 16,938.93

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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.