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Finding the Fourth Proportional to 14,081.63, 19,433.25 and 7,794

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Solution

The fourth proportional to 14,081.63, 19,433.25 and 7,794 is: 10,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.63 : 19,433.25 = 7,794 : x
  2. Step 2: Convert to fraction form
    14,081.63/19,433.25 = 7,794/x
  3. Step 3: Cross multiply
    14,081.63x = 19,433.25 × 7,794
  4. Step 4: Simplify right side
    14,081.63x = 151,462,750.50
  5. Step 5: Solve for x
    x = 151,462,750.50/14,081.63
  6. Step 6: Final answer
    x = 10,756.06

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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.