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Finding the Fourth Proportional to 16,583.25, 22,904.34 and 10,984.53

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Solution

The fourth proportional to 16,583.25, 22,904.34 and 10,984.53 is: 15,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.25 : 22,904.34 = 10,984.53 : x
  2. Step 2: Convert to fraction form
    16,583.25/22,904.34 = 10,984.53/x
  3. Step 3: Cross multiply
    16,583.25x = 22,904.34 × 10,984.53
  4. Step 4: Simplify right side
    16,583.25x = 251,593,409.86
  5. Step 5: Solve for x
    x = 251,593,409.86/16,583.25
  6. Step 6: Final answer
    x = 15,171.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.