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Finding the Fourth Proportional to 12,802.23, 19,212.05 and 7,856.78

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Solution

The fourth proportional to 12,802.23, 19,212.05 and 7,856.78 is: 11,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.23 : 19,212.05 = 7,856.78 : x
  2. Step 2: Convert to fraction form
    12,802.23/19,212.05 = 7,856.78/x
  3. Step 3: Cross multiply
    12,802.23x = 19,212.05 × 7,856.78
  4. Step 4: Simplify right side
    12,802.23x = 150,944,714.85
  5. Step 5: Solve for x
    x = 150,944,714.85/12,802.23
  6. Step 6: Final answer
    x = 11,790.50

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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.