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Finding the Fourth Proportional to 14,340, 21,511.44 and 5,109.60

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Solution

The fourth proportional to 14,340, 21,511.44 and 5,109.60 is: 7,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,511.44 = 5,109.60 : x
  2. Step 2: Convert to fraction form
    14,340/21,511.44 = 5,109.60/x
  3. Step 3: Cross multiply
    14,340x = 21,511.44 × 5,109.60
  4. Step 4: Simplify right side
    14,340x = 109,914,853.82
  5. Step 5: Solve for x
    x = 109,914,853.82/14,340
  6. Step 6: Final answer
    x = 7,664.91

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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.