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Finding the Fourth Proportional to 18,570.99, 27,824.10 and 15,470.94

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Solution

The fourth proportional to 18,570.99, 27,824.10 and 15,470.94 is: 23,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.99 : 27,824.10 = 15,470.94 : x
  2. Step 2: Convert to fraction form
    18,570.99/27,824.10 = 15,470.94/x
  3. Step 3: Cross multiply
    18,570.99x = 27,824.10 × 15,470.94
  4. Step 4: Simplify right side
    18,570.99x = 430,464,981.65
  5. Step 5: Solve for x
    x = 430,464,981.65/18,570.99
  6. Step 6: Final answer
    x = 23,179.43

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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.