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Finding the Fourth Proportional to 19,688.46, 29,527.62 and 5,834.22

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Solution

The fourth proportional to 19,688.46, 29,527.62 and 5,834.22 is: 8,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.46 : 29,527.62 = 5,834.22 : x
  2. Step 2: Convert to fraction form
    19,688.46/29,527.62 = 5,834.22/x
  3. Step 3: Cross multiply
    19,688.46x = 29,527.62 × 5,834.22
  4. Step 4: Simplify right side
    19,688.46x = 172,270,631.16
  5. Step 5: Solve for x
    x = 172,270,631.16/19,688.46
  6. Step 6: Final answer
    x = 8,749.83

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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.