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Finding the Fourth Proportional to 21,973.70, 32,967.84 and 8,819.30

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Solution

The fourth proportional to 21,973.70, 32,967.84 and 8,819.30 is: 13,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.70 : 32,967.84 = 8,819.30 : x
  2. Step 2: Convert to fraction form
    21,973.70/32,967.84 = 8,819.30/x
  3. Step 3: Cross multiply
    21,973.70x = 32,967.84 × 8,819.30
  4. Step 4: Simplify right side
    21,973.70x = 290,753,271.31
  5. Step 5: Solve for x
    x = 290,753,271.31/21,973.70
  6. Step 6: Final answer
    x = 13,231.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.