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Finding the Fourth Proportional to 14,594.31, 21,889.04 and 5,826.87

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Solution

The fourth proportional to 14,594.31, 21,889.04 and 5,826.87 is: 8,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.31 : 21,889.04 = 5,826.87 : x
  2. Step 2: Convert to fraction form
    14,594.31/21,889.04 = 5,826.87/x
  3. Step 3: Cross multiply
    14,594.31x = 21,889.04 × 5,826.87
  4. Step 4: Simplify right side
    14,594.31x = 127,544,561.37
  5. Step 5: Solve for x
    x = 127,544,561.37/14,594.31
  6. Step 6: Final answer
    x = 8,739.33

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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.