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Finding the Fourth Proportional to 21,728.40, 32,570.64 and 12,967.44

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Solution

The fourth proportional to 21,728.40, 32,570.64 and 12,967.44 is: 19,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.40 : 32,570.64 = 12,967.44 : x
  2. Step 2: Convert to fraction form
    21,728.40/32,570.64 = 12,967.44/x
  3. Step 3: Cross multiply
    21,728.40x = 32,570.64 × 12,967.44
  4. Step 4: Simplify right side
    21,728.40x = 422,357,819.96
  5. Step 5: Solve for x
    x = 422,357,819.96/21,728.40
  6. Step 6: Final answer
    x = 19,438.05

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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.