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Finding the Fourth Proportional to 38,520.16, 57,782.40 and 10,816

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Solution

The fourth proportional to 38,520.16, 57,782.40 and 10,816 is: 16,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520.16 : 57,782.40 = 10,816 : x
  2. Step 2: Convert to fraction form
    38,520.16/57,782.40 = 10,816/x
  3. Step 3: Cross multiply
    38,520.16x = 57,782.40 × 10,816
  4. Step 4: Simplify right side
    38,520.16x = 624,974,438.40
  5. Step 5: Solve for x
    x = 624,974,438.40/38,520.16
  6. Step 6: Final answer
    x = 16,224.61

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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.