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Finding the Fourth Proportional to 15,212.25, 22,816.53 and 4,682.25

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Solution

The fourth proportional to 15,212.25, 22,816.53 and 4,682.25 is: 7,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.25 : 22,816.53 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    15,212.25/22,816.53 = 4,682.25/x
  3. Step 3: Cross multiply
    15,212.25x = 22,816.53 × 4,682.25
  4. Step 4: Simplify right side
    15,212.25x = 106,832,697.59
  5. Step 5: Solve for x
    x = 106,832,697.59/15,212.25
  6. Step 6: Final answer
    x = 7,022.81

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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.