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Finding the Fourth Proportional to 13,778.38, 19,015.76 and 7,730.29

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Solution

The fourth proportional to 13,778.38, 19,015.76 and 7,730.29 is: 10,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.38 : 19,015.76 = 7,730.29 : x
  2. Step 2: Convert to fraction form
    13,778.38/19,015.76 = 7,730.29/x
  3. Step 3: Cross multiply
    13,778.38x = 19,015.76 × 7,730.29
  4. Step 4: Simplify right side
    13,778.38x = 146,997,205.64
  5. Step 5: Solve for x
    x = 146,997,205.64/13,778.38
  6. Step 6: Final answer
    x = 10,668.69

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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.