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Finding the Fourth Proportional to 20,506.80, 30,751.20 and 9,409.80

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Solution

The fourth proportional to 20,506.80, 30,751.20 and 9,409.80 is: 14,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.80 : 30,751.20 = 9,409.80 : x
  2. Step 2: Convert to fraction form
    20,506.80/30,751.20 = 9,409.80/x
  3. Step 3: Cross multiply
    20,506.80x = 30,751.20 × 9,409.80
  4. Step 4: Simplify right side
    20,506.80x = 289,362,641.76
  5. Step 5: Solve for x
    x = 289,362,641.76/20,506.80
  6. Step 6: Final answer
    x = 14,110.57

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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.