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Finding the Fourth Proportional to 21,722.32, 32,577 and 7,679.76

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Solution

The fourth proportional to 21,722.32, 32,577 and 7,679.76 is: 11,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.32 : 32,577 = 7,679.76 : x
  2. Step 2: Convert to fraction form
    21,722.32/32,577 = 7,679.76/x
  3. Step 3: Cross multiply
    21,722.32x = 32,577 × 7,679.76
  4. Step 4: Simplify right side
    21,722.32x = 250,183,541.52
  5. Step 5: Solve for x
    x = 250,183,541.52/21,722.32
  6. Step 6: Final answer
    x = 11,517.35

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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.