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Finding the Fourth Proportional to 18,556.99, 27,828.64 and 13,007.50

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Solution

The fourth proportional to 18,556.99, 27,828.64 and 13,007.50 is: 19,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,556.99 : 27,828.64 = 13,007.50 : x
  2. Step 2: Convert to fraction form
    18,556.99/27,828.64 = 13,007.50/x
  3. Step 3: Cross multiply
    18,556.99x = 27,828.64 × 13,007.50
  4. Step 4: Simplify right side
    18,556.99x = 361,981,034.80
  5. Step 5: Solve for x
    x = 361,981,034.80/18,556.99
  6. Step 6: Final answer
    x = 19,506.45

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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.