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Finding the Fourth Proportional to 14,464.57, 21,696.91 and 5,099.48

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Solution

The fourth proportional to 14,464.57, 21,696.91 and 5,099.48 is: 7,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.57 : 21,696.91 = 5,099.48 : x
  2. Step 2: Convert to fraction form
    14,464.57/21,696.91 = 5,099.48/x
  3. Step 3: Cross multiply
    14,464.57x = 21,696.91 × 5,099.48
  4. Step 4: Simplify right side
    14,464.57x = 110,642,958.61
  5. Step 5: Solve for x
    x = 110,642,958.61/14,464.57
  6. Step 6: Final answer
    x = 7,649.24

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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.