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Finding the Fourth Proportional to 19,706.59, 29,543.94 and 13,450.86

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Solution

The fourth proportional to 19,706.59, 29,543.94 and 13,450.86 is: 20,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.59 : 29,543.94 = 13,450.86 : x
  2. Step 2: Convert to fraction form
    19,706.59/29,543.94 = 13,450.86/x
  3. Step 3: Cross multiply
    19,706.59x = 29,543.94 × 13,450.86
  4. Step 4: Simplify right side
    19,706.59x = 397,391,400.79
  5. Step 5: Solve for x
    x = 397,391,400.79/19,706.59
  6. Step 6: Final answer
    x = 20,165.41

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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.