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Finding the Fourth Proportional to 22,768.64, 31,428.24 and 13,337

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Solution

The fourth proportional to 22,768.64, 31,428.24 and 13,337 is: 18,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.64 : 31,428.24 = 13,337 : x
  2. Step 2: Convert to fraction form
    22,768.64/31,428.24 = 13,337/x
  3. Step 3: Cross multiply
    22,768.64x = 31,428.24 × 13,337
  4. Step 4: Simplify right side
    22,768.64x = 419,158,436.88
  5. Step 5: Solve for x
    x = 419,158,436.88/22,768.64
  6. Step 6: Final answer
    x = 18,409.46

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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.