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Finding the Fourth Proportional to 27,684.34, 38,206.44 and 15,751.52

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Solution

The fourth proportional to 27,684.34, 38,206.44 and 15,751.52 is: 21,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.34 : 38,206.44 = 15,751.52 : x
  2. Step 2: Convert to fraction form
    27,684.34/38,206.44 = 15,751.52/x
  3. Step 3: Cross multiply
    27,684.34x = 38,206.44 × 15,751.52
  4. Step 4: Simplify right side
    27,684.34x = 601,809,503.79
  5. Step 5: Solve for x
    x = 601,809,503.79/27,684.34
  6. Step 6: Final answer
    x = 21,738.26

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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.