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Finding the Fourth Proportional to 19,189.82, 28,766.26 and 9,834.26

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Solution

The fourth proportional to 19,189.82, 28,766.26 and 9,834.26 is: 14,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.82 : 28,766.26 = 9,834.26 : x
  2. Step 2: Convert to fraction form
    19,189.82/28,766.26 = 9,834.26/x
  3. Step 3: Cross multiply
    19,189.82x = 28,766.26 × 9,834.26
  4. Step 4: Simplify right side
    19,189.82x = 282,894,880.07
  5. Step 5: Solve for x
    x = 282,894,880.07/19,189.82
  6. Step 6: Final answer
    x = 14,741.92

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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.