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Finding the Fourth Proportional to 19,838.01, 29,778.90 and 11,527.41

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Solution

The fourth proportional to 19,838.01, 29,778.90 and 11,527.41 is: 17,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.01 : 29,778.90 = 11,527.41 : x
  2. Step 2: Convert to fraction form
    19,838.01/29,778.90 = 11,527.41/x
  3. Step 3: Cross multiply
    19,838.01x = 29,778.90 × 11,527.41
  4. Step 4: Simplify right side
    19,838.01x = 343,273,589.65
  5. Step 5: Solve for x
    x = 343,273,589.65/19,838.01
  6. Step 6: Final answer
    x = 17,303.83

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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.