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Finding the Fourth Proportional to 25,216.30, 37,816.32 and 8,346.16

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Solution

The fourth proportional to 25,216.30, 37,816.32 and 8,346.16 is: 12,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.30 : 37,816.32 = 8,346.16 : x
  2. Step 2: Convert to fraction form
    25,216.30/37,816.32 = 8,346.16/x
  3. Step 3: Cross multiply
    25,216.30x = 37,816.32 × 8,346.16
  4. Step 4: Simplify right side
    25,216.30x = 315,621,057.33
  5. Step 5: Solve for x
    x = 315,621,057.33/25,216.30
  6. Step 6: Final answer
    x = 12,516.55

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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.