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Finding the Fourth Proportional to 13,723.84, 18,939 and 7,436.28

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Solution

The fourth proportional to 13,723.84, 18,939 and 7,436.28 is: 10,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.84 : 18,939 = 7,436.28 : x
  2. Step 2: Convert to fraction form
    13,723.84/18,939 = 7,436.28/x
  3. Step 3: Cross multiply
    13,723.84x = 18,939 × 7,436.28
  4. Step 4: Simplify right side
    13,723.84x = 140,835,706.92
  5. Step 5: Solve for x
    x = 140,835,706.92/13,723.84
  6. Step 6: Final answer
    x = 10,262.12

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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.