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Finding the Fourth Proportional to 15,886, 23,812.37 and 5,352.38

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Solution

The fourth proportional to 15,886, 23,812.37 and 5,352.38 is: 8,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886 : 23,812.37 = 5,352.38 : x
  2. Step 2: Convert to fraction form
    15,886/23,812.37 = 5,352.38/x
  3. Step 3: Cross multiply
    15,886x = 23,812.37 × 5,352.38
  4. Step 4: Simplify right side
    15,886x = 127,452,852.94
  5. Step 5: Solve for x
    x = 127,452,852.94/15,886
  6. Step 6: Final answer
    x = 8,022.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.