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Finding the Fourth Proportional to 13,796.46, 19,039.55 and 7,828.38

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Solution

The fourth proportional to 13,796.46, 19,039.55 and 7,828.38 is: 10,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.46 : 19,039.55 = 7,828.38 : x
  2. Step 2: Convert to fraction form
    13,796.46/19,039.55 = 7,828.38/x
  3. Step 3: Cross multiply
    13,796.46x = 19,039.55 × 7,828.38
  4. Step 4: Simplify right side
    13,796.46x = 149,048,832.43
  5. Step 5: Solve for x
    x = 149,048,832.43/13,796.46
  6. Step 6: Final answer
    x = 10,803.41

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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.