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Finding the Fourth Proportional to 20,675.80, 31,004.70 and 9,578.80

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Solution

The fourth proportional to 20,675.80, 31,004.70 and 9,578.80 is: 14,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.80 : 31,004.70 = 9,578.80 : x
  2. Step 2: Convert to fraction form
    20,675.80/31,004.70 = 9,578.80/x
  3. Step 3: Cross multiply
    20,675.80x = 31,004.70 × 9,578.80
  4. Step 4: Simplify right side
    20,675.80x = 296,987,820.36
  5. Step 5: Solve for x
    x = 296,987,820.36/20,675.80
  6. Step 6: Final answer
    x = 14,364.03

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1.5x scale

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.