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Finding the Fourth Proportional to 21,623.31, 32,438.31 and 9,143.37

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Solution

The fourth proportional to 21,623.31, 32,438.31 and 9,143.37 is: 13,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.31 : 32,438.31 = 9,143.37 : x
  2. Step 2: Convert to fraction form
    21,623.31/32,438.31 = 9,143.37/x
  3. Step 3: Cross multiply
    21,623.31x = 32,438.31 × 9,143.37
  4. Step 4: Simplify right side
    21,623.31x = 296,595,470.50
  5. Step 5: Solve for x
    x = 296,595,470.50/21,623.31
  6. Step 6: Final answer
    x = 13,716.47

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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.