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Finding the Fourth Proportional to 20,615.80, 30,923.70 and 14,978.20

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Solution

The fourth proportional to 20,615.80, 30,923.70 and 14,978.20 is: 22,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.80 : 30,923.70 = 14,978.20 : x
  2. Step 2: Convert to fraction form
    20,615.80/30,923.70 = 14,978.20/x
  3. Step 3: Cross multiply
    20,615.80x = 30,923.70 × 14,978.20
  4. Step 4: Simplify right side
    20,615.80x = 463,181,363.34
  5. Step 5: Solve for x
    x = 463,181,363.34/20,615.80
  6. Step 6: Final answer
    x = 22,467.30

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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.