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Finding the Fourth Proportional to 23,202.80, 34,782.60 and 16,182.80

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Solution

The fourth proportional to 23,202.80, 34,782.60 and 16,182.80 is: 24,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.80 : 34,782.60 = 16,182.80 : x
  2. Step 2: Convert to fraction form
    23,202.80/34,782.60 = 16,182.80/x
  3. Step 3: Cross multiply
    23,202.80x = 34,782.60 × 16,182.80
  4. Step 4: Simplify right side
    23,202.80x = 562,879,859.28
  5. Step 5: Solve for x
    x = 562,879,859.28/23,202.80
  6. Step 6: Final answer
    x = 24,259.14

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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.