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Finding the Fourth Proportional to 12,827.88, 19,226.88 and 5,429.88

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Solution

The fourth proportional to 12,827.88, 19,226.88 and 5,429.88 is: 8,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.88 : 19,226.88 = 5,429.88 : x
  2. Step 2: Convert to fraction form
    12,827.88/19,226.88 = 5,429.88/x
  3. Step 3: Cross multiply
    12,827.88x = 19,226.88 × 5,429.88
  4. Step 4: Simplify right side
    12,827.88x = 104,399,651.17
  5. Step 5: Solve for x
    x = 104,399,651.17/12,827.88
  6. Step 6: Final answer
    x = 8,138.50

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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.