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Finding the Fourth Proportional to 21,850.40, 32,783.70 and 8,712.20

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Solution

The fourth proportional to 21,850.40, 32,783.70 and 8,712.20 is: 13,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.40 : 32,783.70 = 8,712.20 : x
  2. Step 2: Convert to fraction form
    21,850.40/32,783.70 = 8,712.20/x
  3. Step 3: Cross multiply
    21,850.40x = 32,783.70 × 8,712.20
  4. Step 4: Simplify right side
    21,850.40x = 285,618,151.14
  5. Step 5: Solve for x
    x = 285,618,151.14/21,850.40
  6. Step 6: Final answer
    x = 13,071.53

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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.