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Finding the Fourth Proportional to 19,527.74, 29,285.55 and 7,046.15

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Solution

The fourth proportional to 19,527.74, 29,285.55 and 7,046.15 is: 10,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.74 : 29,285.55 = 7,046.15 : x
  2. Step 2: Convert to fraction form
    19,527.74/29,285.55 = 7,046.15/x
  3. Step 3: Cross multiply
    19,527.74x = 29,285.55 × 7,046.15
  4. Step 4: Simplify right side
    19,527.74x = 206,350,231.70
  5. Step 5: Solve for x
    x = 206,350,231.70/19,527.74
  6. Step 6: Final answer
    x = 10,567.03

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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.