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Finding the Fourth Proportional to 19,990.70, 27,583.84 and 11,492.38

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Solution

The fourth proportional to 19,990.70, 27,583.84 and 11,492.38 is: 15,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.70 : 27,583.84 = 11,492.38 : x
  2. Step 2: Convert to fraction form
    19,990.70/27,583.84 = 11,492.38/x
  3. Step 3: Cross multiply
    19,990.70x = 27,583.84 × 11,492.38
  4. Step 4: Simplify right side
    19,990.70x = 317,004,019.98
  5. Step 5: Solve for x
    x = 317,004,019.98/19,990.70
  6. Step 6: Final answer
    x = 15,857.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.