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Finding the Fourth Proportional to 20,807.77, 28,717.38 and 11,858.50

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Solution

The fourth proportional to 20,807.77, 28,717.38 and 11,858.50 is: 16,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.77 : 28,717.38 = 11,858.50 : x
  2. Step 2: Convert to fraction form
    20,807.77/28,717.38 = 11,858.50/x
  3. Step 3: Cross multiply
    20,807.77x = 28,717.38 × 11,858.50
  4. Step 4: Simplify right side
    20,807.77x = 340,545,050.73
  5. Step 5: Solve for x
    x = 340,545,050.73/20,807.77
  6. Step 6: Final answer
    x = 16,366.24

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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.