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Finding the Fourth Proportional to 20,477.70, 30,643.65 and 14,208.30

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Solution

The fourth proportional to 20,477.70, 30,643.65 and 14,208.30 is: 21,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.70 : 30,643.65 = 14,208.30 : x
  2. Step 2: Convert to fraction form
    20,477.70/30,643.65 = 14,208.30/x
  3. Step 3: Cross multiply
    20,477.70x = 30,643.65 × 14,208.30
  4. Step 4: Simplify right side
    20,477.70x = 435,394,172.30
  5. Step 5: Solve for x
    x = 435,394,172.30/20,477.70
  6. Step 6: Final answer
    x = 21,261.87

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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.