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Finding the Fourth Proportional to 20,382.30, 28,127.70 and 11,429.93

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Solution

The fourth proportional to 20,382.30, 28,127.70 and 11,429.93 is: 15,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.30 : 28,127.70 = 11,429.93 : x
  2. Step 2: Convert to fraction form
    20,382.30/28,127.70 = 11,429.93/x
  3. Step 3: Cross multiply
    20,382.30x = 28,127.70 × 11,429.93
  4. Step 4: Simplify right side
    20,382.30x = 321,497,712.38
  5. Step 5: Solve for x
    x = 321,497,712.38/20,382.30
  6. Step 6: Final answer
    x = 15,773.38

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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.