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Finding the Fourth Proportional to 19,838.24, 29,757.53 and 5,047.17

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Solution

The fourth proportional to 19,838.24, 29,757.53 and 5,047.17 is: 7,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.24 : 29,757.53 = 5,047.17 : x
  2. Step 2: Convert to fraction form
    19,838.24/29,757.53 = 5,047.17/x
  3. Step 3: Cross multiply
    19,838.24x = 29,757.53 × 5,047.17
  4. Step 4: Simplify right side
    19,838.24x = 150,191,399.70
  5. Step 5: Solve for x
    x = 150,191,399.70/19,838.24
  6. Step 6: Final answer
    x = 7,570.80

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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.