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Finding the Fourth Proportional to 20,872.92, 28,804.71 and 11,312.82

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Solution

The fourth proportional to 20,872.92, 28,804.71 and 11,312.82 is: 15,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.92 : 28,804.71 = 11,312.82 : x
  2. Step 2: Convert to fraction form
    20,872.92/28,804.71 = 11,312.82/x
  3. Step 3: Cross multiply
    20,872.92x = 28,804.71 × 11,312.82
  4. Step 4: Simplify right side
    20,872.92x = 325,862,499.38
  5. Step 5: Solve for x
    x = 325,862,499.38/20,872.92
  6. Step 6: Final answer
    x = 15,611.74

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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.