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Finding the Fourth Proportional to 21,989.60, 32,984.40 and 13,722.20

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Solution

The fourth proportional to 21,989.60, 32,984.40 and 13,722.20 is: 20,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.60 : 32,984.40 = 13,722.20 : x
  2. Step 2: Convert to fraction form
    21,989.60/32,984.40 = 13,722.20/x
  3. Step 3: Cross multiply
    21,989.60x = 32,984.40 × 13,722.20
  4. Step 4: Simplify right side
    21,989.60x = 452,618,533.68
  5. Step 5: Solve for x
    x = 452,618,533.68/21,989.60
  6. Step 6: Final answer
    x = 20,583.30

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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.