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Finding the Fourth Proportional to 21,309.70, 31,976.70 and 14,740.60

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Solution

The fourth proportional to 21,309.70, 31,976.70 and 14,740.60 is: 22,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.70 : 31,976.70 = 14,740.60 : x
  2. Step 2: Convert to fraction form
    21,309.70/31,976.70 = 14,740.60/x
  3. Step 3: Cross multiply
    21,309.70x = 31,976.70 × 14,740.60
  4. Step 4: Simplify right side
    21,309.70x = 471,355,744.02
  5. Step 5: Solve for x
    x = 471,355,744.02/21,309.70
  6. Step 6: Final answer
    x = 22,119.30

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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.