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Finding the Fourth Proportional to 15,782.37, 21,782.49 and 9,409.38

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Solution

The fourth proportional to 15,782.37, 21,782.49 and 9,409.38 is: 12,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.37 : 21,782.49 = 9,409.38 : x
  2. Step 2: Convert to fraction form
    15,782.37/21,782.49 = 9,409.38/x
  3. Step 3: Cross multiply
    15,782.37x = 21,782.49 × 9,409.38
  4. Step 4: Simplify right side
    15,782.37x = 204,959,725.76
  5. Step 5: Solve for x
    x = 204,959,725.76/15,782.37
  6. Step 6: Final answer
    x = 12,986.63

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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.