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Finding the Fourth Proportional to 19,826.61, 29,733.03 and 7,976.85

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Solution

The fourth proportional to 19,826.61, 29,733.03 and 7,976.85 is: 11,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.61 : 29,733.03 = 7,976.85 : x
  2. Step 2: Convert to fraction form
    19,826.61/29,733.03 = 7,976.85/x
  3. Step 3: Cross multiply
    19,826.61x = 29,733.03 × 7,976.85
  4. Step 4: Simplify right side
    19,826.61x = 237,175,920.36
  5. Step 5: Solve for x
    x = 237,175,920.36/19,826.61
  6. Step 6: Final answer
    x = 11,962.50

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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.