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Finding the Fourth Proportional to 12,833.62, 19,253.31 and 4,069.06

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Solution

The fourth proportional to 12,833.62, 19,253.31 and 4,069.06 is: 6,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.62 : 19,253.31 = 4,069.06 : x
  2. Step 2: Convert to fraction form
    12,833.62/19,253.31 = 4,069.06/x
  3. Step 3: Cross multiply
    12,833.62x = 19,253.31 × 4,069.06
  4. Step 4: Simplify right side
    12,833.62x = 78,342,873.59
  5. Step 5: Solve for x
    x = 78,342,873.59/12,833.62
  6. Step 6: Final answer
    x = 6,104.50

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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.