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Finding the Fourth Proportional to 34,574.62, 51,850.37 and 13,509.20

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Solution

The fourth proportional to 34,574.62, 51,850.37 and 13,509.20 is: 20,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574.62 : 51,850.37 = 13,509.20 : x
  2. Step 2: Convert to fraction form
    34,574.62/51,850.37 = 13,509.20/x
  3. Step 3: Cross multiply
    34,574.62x = 51,850.37 × 13,509.20
  4. Step 4: Simplify right side
    34,574.62x = 700,456,792.93
  5. Step 5: Solve for x
    x = 700,456,792.93/34,574.62
  6. Step 6: Final answer
    x = 20,259.28

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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.