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Finding the Fourth Proportional to 19,886, 29,807.14 and 8,192.84

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Solution

The fourth proportional to 19,886, 29,807.14 and 8,192.84 is: 12,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886 : 29,807.14 = 8,192.84 : x
  2. Step 2: Convert to fraction form
    19,886/29,807.14 = 8,192.84/x
  3. Step 3: Cross multiply
    19,886x = 29,807.14 × 8,192.84
  4. Step 4: Simplify right side
    19,886x = 244,205,128.88
  5. Step 5: Solve for x
    x = 244,205,128.88/19,886
  6. Step 6: Final answer
    x = 12,280.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.