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Finding the Fourth Proportional to 13,000.84, 17,924.90 and 10,850.46

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Solution

The fourth proportional to 13,000.84, 17,924.90 and 10,850.46 is: 14,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.84 : 17,924.90 = 10,850.46 : x
  2. Step 2: Convert to fraction form
    13,000.84/17,924.90 = 10,850.46/x
  3. Step 3: Cross multiply
    13,000.84x = 17,924.90 × 10,850.46
  4. Step 4: Simplify right side
    13,000.84x = 194,493,288.98
  5. Step 5: Solve for x
    x = 194,493,288.98/13,000.84
  6. Step 6: Final answer
    x = 14,960.06

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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.