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Finding the Fourth Proportional to 19,762.56, 29,632.89 and 8,083.98

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Solution

The fourth proportional to 19,762.56, 29,632.89 and 8,083.98 is: 12,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.56 : 29,632.89 = 8,083.98 : x
  2. Step 2: Convert to fraction form
    19,762.56/29,632.89 = 8,083.98/x
  3. Step 3: Cross multiply
    19,762.56x = 29,632.89 × 8,083.98
  4. Step 4: Simplify right side
    19,762.56x = 239,551,690.10
  5. Step 5: Solve for x
    x = 239,551,690.10/19,762.56
  6. Step 6: Final answer
    x = 12,121.49

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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.