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Finding the Fourth Proportional to 13,813.38, 19,062.81 and 8,511.66

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Solution

The fourth proportional to 13,813.38, 19,062.81 and 8,511.66 is: 11,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.38 : 19,062.81 = 8,511.66 : x
  2. Step 2: Convert to fraction form
    13,813.38/19,062.81 = 8,511.66/x
  3. Step 3: Cross multiply
    13,813.38x = 19,062.81 × 8,511.66
  4. Step 4: Simplify right side
    13,813.38x = 162,256,157.36
  5. Step 5: Solve for x
    x = 162,256,157.36/13,813.38
  6. Step 6: Final answer
    x = 11,746.30

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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.