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Finding the Fourth Proportional to 13,747.00, 18,969.70 and 8,081.93

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Solution

The fourth proportional to 13,747.00, 18,969.70 and 8,081.93 is: 11,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.00 : 18,969.70 = 8,081.93 : x
  2. Step 2: Convert to fraction form
    13,747.00/18,969.70 = 8,081.93/x
  3. Step 3: Cross multiply
    13,747.00x = 18,969.70 × 8,081.93
  4. Step 4: Simplify right side
    13,747.00x = 153,311,747.11
  5. Step 5: Solve for x
    x = 153,311,747.11/13,747.00
  6. Step 6: Final answer
    x = 11,152.38

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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.