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Finding the Fourth Proportional to 14,556, 20,087.36 and 7,932

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Solution

The fourth proportional to 14,556, 20,087.36 and 7,932 is: 10,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556 : 20,087.36 = 7,932 : x
  2. Step 2: Convert to fraction form
    14,556/20,087.36 = 7,932/x
  3. Step 3: Cross multiply
    14,556x = 20,087.36 × 7,932
  4. Step 4: Simplify right side
    14,556x = 159,332,939.52
  5. Step 5: Solve for x
    x = 159,332,939.52/14,556
  6. Step 6: Final answer
    x = 10,946.20

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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.