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Finding the Fourth Proportional to 19,412.70, 29,114.49 and 8,324.61

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Solution

The fourth proportional to 19,412.70, 29,114.49 and 8,324.61 is: 12,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.70 : 29,114.49 = 8,324.61 : x
  2. Step 2: Convert to fraction form
    19,412.70/29,114.49 = 8,324.61/x
  3. Step 3: Cross multiply
    19,412.70x = 29,114.49 × 8,324.61
  4. Step 4: Simplify right side
    19,412.70x = 242,366,774.60
  5. Step 5: Solve for x
    x = 242,366,774.60/19,412.70
  6. Step 6: Final answer
    x = 12,484.96

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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.