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Finding the Fourth Proportional to 19,728.26, 29,596.53 and 5,688.26

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Solution

The fourth proportional to 19,728.26, 29,596.53 and 5,688.26 is: 8,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.26 : 29,596.53 = 5,688.26 : x
  2. Step 2: Convert to fraction form
    19,728.26/29,596.53 = 5,688.26/x
  3. Step 3: Cross multiply
    19,728.26x = 29,596.53 × 5,688.26
  4. Step 4: Simplify right side
    19,728.26x = 168,352,853.06
  5. Step 5: Solve for x
    x = 168,352,853.06/19,728.26
  6. Step 6: Final answer
    x = 8,533.59

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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.