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Finding the Fourth Proportional to 13,822.84, 19,073.64 and 7,855.03

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Solution

The fourth proportional to 13,822.84, 19,073.64 and 7,855.03 is: 10,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.84 : 19,073.64 = 7,855.03 : x
  2. Step 2: Convert to fraction form
    13,822.84/19,073.64 = 7,855.03/x
  3. Step 3: Cross multiply
    13,822.84x = 19,073.64 × 7,855.03
  4. Step 4: Simplify right side
    13,822.84x = 149,824,014.41
  5. Step 5: Solve for x
    x = 149,824,014.41/13,822.84
  6. Step 6: Final answer
    x = 10,838.87

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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.