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Finding the Fourth Proportional to 12,824.50, 19,240.16 and 5,429.27

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Solution

The fourth proportional to 12,824.50, 19,240.16 and 5,429.27 is: 8,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.50 : 19,240.16 = 5,429.27 : x
  2. Step 2: Convert to fraction form
    12,824.50/19,240.16 = 5,429.27/x
  3. Step 3: Cross multiply
    12,824.50x = 19,240.16 × 5,429.27
  4. Step 4: Simplify right side
    12,824.50x = 104,460,023.48
  5. Step 5: Solve for x
    x = 104,460,023.48/12,824.50
  6. Step 6: Final answer
    x = 8,145.35

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