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Finding the Fourth Proportional to 21,808, 32,713.08 and 7,015.78

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Solution

The fourth proportional to 21,808, 32,713.08 and 7,015.78 is: 10,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808 : 32,713.08 = 7,015.78 : x
  2. Step 2: Convert to fraction form
    21,808/32,713.08 = 7,015.78/x
  3. Step 3: Cross multiply
    21,808x = 32,713.08 × 7,015.78
  4. Step 4: Simplify right side
    21,808x = 229,507,772.40
  5. Step 5: Solve for x
    x = 229,507,772.40/21,808
  6. Step 6: Final answer
    x = 10,524.02

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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.