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Finding the Fourth Proportional to 19,636.61, 29,435.87 and 7,786.50

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Solution

The fourth proportional to 19,636.61, 29,435.87 and 7,786.50 is: 11,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636.61 : 29,435.87 = 7,786.50 : x
  2. Step 2: Convert to fraction form
    19,636.61/29,435.87 = 7,786.50/x
  3. Step 3: Cross multiply
    19,636.61x = 29,435.87 × 7,786.50
  4. Step 4: Simplify right side
    19,636.61x = 229,202,362.82
  5. Step 5: Solve for x
    x = 229,202,362.82/19,636.61
  6. Step 6: Final answer
    x = 11,672.20

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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.