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Finding the Fourth Proportional to 19,550.34, 29,330.98 and 6,411.96

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Solution

The fourth proportional to 19,550.34, 29,330.98 and 6,411.96 is: 9,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550.34 : 29,330.98 = 6,411.96 : x
  2. Step 2: Convert to fraction form
    19,550.34/29,330.98 = 6,411.96/x
  3. Step 3: Cross multiply
    19,550.34x = 29,330.98 × 6,411.96
  4. Step 4: Simplify right side
    19,550.34x = 188,069,070.52
  5. Step 5: Solve for x
    x = 188,069,070.52/19,550.34
  6. Step 6: Final answer
    x = 9,619.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.