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Finding the Fourth Proportional to 15,932.09, 21,894.01 and 15,200.36

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Solution

The fourth proportional to 15,932.09, 21,894.01 and 15,200.36 is: 20,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.09 : 21,894.01 = 15,200.36 : x
  2. Step 2: Convert to fraction form
    15,932.09/21,894.01 = 15,200.36/x
  3. Step 3: Cross multiply
    15,932.09x = 21,894.01 × 15,200.36
  4. Step 4: Simplify right side
    15,932.09x = 332,796,724.37
  5. Step 5: Solve for x
    x = 332,796,724.37/15,932.09
  6. Step 6: Final answer
    x = 20,888.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.