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Finding the Fourth Proportional to 13,913.77, 19,201.07 and 7,540.38

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Solution

The fourth proportional to 13,913.77, 19,201.07 and 7,540.38 is: 10,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.77 : 19,201.07 = 7,540.38 : x
  2. Step 2: Convert to fraction form
    13,913.77/19,201.07 = 7,540.38/x
  3. Step 3: Cross multiply
    13,913.77x = 19,201.07 × 7,540.38
  4. Step 4: Simplify right side
    13,913.77x = 144,783,364.21
  5. Step 5: Solve for x
    x = 144,783,364.21/13,913.77
  6. Step 6: Final answer
    x = 10,405.76

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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.