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Finding the Fourth Proportional to 19,524.84, 26,944.74 and 11,142.12

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Solution

The fourth proportional to 19,524.84, 26,944.74 and 11,142.12 is: 15,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.84 : 26,944.74 = 11,142.12 : x
  2. Step 2: Convert to fraction form
    19,524.84/26,944.74 = 11,142.12/x
  3. Step 3: Cross multiply
    19,524.84x = 26,944.74 × 11,142.12
  4. Step 4: Simplify right side
    19,524.84x = 300,221,526.45
  5. Step 5: Solve for x
    x = 300,221,526.45/19,524.84
  6. Step 6: Final answer
    x = 15,376.39

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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.