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Finding the Fourth Proportional to 13,803, 19,046.94 and 7,834.92

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Solution

The fourth proportional to 13,803, 19,046.94 and 7,834.92 is: 10,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803 : 19,046.94 = 7,834.92 : x
  2. Step 2: Convert to fraction form
    13,803/19,046.94 = 7,834.92/x
  3. Step 3: Cross multiply
    13,803x = 19,046.94 × 7,834.92
  4. Step 4: Simplify right side
    13,803x = 149,231,251.14
  5. Step 5: Solve for x
    x = 149,231,251.14/13,803
  6. Step 6: Final answer
    x = 10,811.51

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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.