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Finding the Fourth Proportional to 22,769.64, 31,424.76 and 13,338

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Solution

The fourth proportional to 22,769.64, 31,424.76 and 13,338 is: 18,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.64 : 31,424.76 = 13,338 : x
  2. Step 2: Convert to fraction form
    22,769.64/31,424.76 = 13,338/x
  3. Step 3: Cross multiply
    22,769.64x = 31,424.76 × 13,338
  4. Step 4: Simplify right side
    22,769.64x = 419,143,448.88
  5. Step 5: Solve for x
    x = 419,143,448.88/22,769.64
  6. Step 6: Final answer
    x = 18,408.00

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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.