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Finding the Fourth Proportional to 19,301.52, 28,952.76 and 5,450

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Solution

The fourth proportional to 19,301.52, 28,952.76 and 5,450 is: 8,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.52 : 28,952.76 = 5,450 : x
  2. Step 2: Convert to fraction form
    19,301.52/28,952.76 = 5,450/x
  3. Step 3: Cross multiply
    19,301.52x = 28,952.76 × 5,450
  4. Step 4: Simplify right side
    19,301.52x = 157,792,542
  5. Step 5: Solve for x
    x = 157,792,542/19,301.52
  6. Step 6: Final answer
    x = 8,175.14

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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.