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Finding the Fourth Proportional to 13,800.41, 19,046.28 and 7,834.01

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Solution

The fourth proportional to 13,800.41, 19,046.28 and 7,834.01 is: 10,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.41 : 19,046.28 = 7,834.01 : x
  2. Step 2: Convert to fraction form
    13,800.41/19,046.28 = 7,834.01/x
  3. Step 3: Cross multiply
    13,800.41x = 19,046.28 × 7,834.01
  4. Step 4: Simplify right side
    13,800.41x = 149,208,652.75
  5. Step 5: Solve for x
    x = 149,208,652.75/13,800.41
  6. Step 6: Final answer
    x = 10,811.90

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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.