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Finding the Fourth Proportional to 14,511.64, 21,729.60 and 7,924.20

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Solution

The fourth proportional to 14,511.64, 21,729.60 and 7,924.20 is: 11,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.64 : 21,729.60 = 7,924.20 : x
  2. Step 2: Convert to fraction form
    14,511.64/21,729.60 = 7,924.20/x
  3. Step 3: Cross multiply
    14,511.64x = 21,729.60 × 7,924.20
  4. Step 4: Simplify right side
    14,511.64x = 172,189,696.32
  5. Step 5: Solve for x
    x = 172,189,696.32/14,511.64
  6. Step 6: Final answer
    x = 11,865.63

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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.