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Finding the Fourth Proportional to 14,611.60, 21,928.20 and 9,679.60

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Solution

The fourth proportional to 14,611.60, 21,928.20 and 9,679.60 is: 14,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.60 : 21,928.20 = 9,679.60 : x
  2. Step 2: Convert to fraction form
    14,611.60/21,928.20 = 9,679.60/x
  3. Step 3: Cross multiply
    14,611.60x = 21,928.20 × 9,679.60
  4. Step 4: Simplify right side
    14,611.60x = 212,256,204.72
  5. Step 5: Solve for x
    x = 212,256,204.72/14,611.60
  6. Step 6: Final answer
    x = 14,526.55

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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.