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Finding the Fourth Proportional to 12,822.50, 19,237.16 and 5,427.27

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Solution

The fourth proportional to 12,822.50, 19,237.16 and 5,427.27 is: 8,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.50 : 19,237.16 = 5,427.27 : x
  2. Step 2: Convert to fraction form
    12,822.50/19,237.16 = 5,427.27/x
  3. Step 3: Cross multiply
    12,822.50x = 19,237.16 × 5,427.27
  4. Step 4: Simplify right side
    12,822.50x = 104,405,274.92
  5. Step 5: Solve for x
    x = 104,405,274.92/12,822.50
  6. Step 6: Final answer
    x = 8,142.35

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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.