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Finding the Fourth Proportional to 12,807.26, 19,197.74 and 9,288.50

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Solution

The fourth proportional to 12,807.26, 19,197.74 and 9,288.50 is: 13,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.26 : 19,197.74 = 9,288.50 : x
  2. Step 2: Convert to fraction form
    12,807.26/19,197.74 = 9,288.50/x
  3. Step 3: Cross multiply
    12,807.26x = 19,197.74 × 9,288.50
  4. Step 4: Simplify right side
    12,807.26x = 178,318,207.99
  5. Step 5: Solve for x
    x = 178,318,207.99/12,807.26
  6. Step 6: Final answer
    x = 13,923.21

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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.