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Finding the Fourth Proportional to 19,762.55, 29,632.88 and 8,083.97

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Solution

The fourth proportional to 19,762.55, 29,632.88 and 8,083.97 is: 12,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.55 : 29,632.88 = 8,083.97 : x
  2. Step 2: Convert to fraction form
    19,762.55/29,632.88 = 8,083.97/x
  3. Step 3: Cross multiply
    19,762.55x = 29,632.88 × 8,083.97
  4. Step 4: Simplify right side
    19,762.55x = 239,551,124.35
  5. Step 5: Solve for x
    x = 239,551,124.35/19,762.55
  6. Step 6: Final answer
    x = 12,121.47

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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.