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Finding the Fourth Proportional to 12,798.02, 19,164.96 and 8,103.87

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Solution

The fourth proportional to 12,798.02, 19,164.96 and 8,103.87 is: 12,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.02 : 19,164.96 = 8,103.87 : x
  2. Step 2: Convert to fraction form
    12,798.02/19,164.96 = 8,103.87/x
  3. Step 3: Cross multiply
    12,798.02x = 19,164.96 × 8,103.87
  4. Step 4: Simplify right side
    12,798.02x = 155,310,344.40
  5. Step 5: Solve for x
    x = 155,310,344.40/12,798.02
  6. Step 6: Final answer
    x = 12,135.50

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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.