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Finding the Fourth Proportional to 14,564.16, 21,845.76 and 7,993.44

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Solution

The fourth proportional to 14,564.16, 21,845.76 and 7,993.44 is: 11,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.16 : 21,845.76 = 7,993.44 : x
  2. Step 2: Convert to fraction form
    14,564.16/21,845.76 = 7,993.44/x
  3. Step 3: Cross multiply
    14,564.16x = 21,845.76 × 7,993.44
  4. Step 4: Simplify right side
    14,564.16x = 174,622,771.81
  5. Step 5: Solve for x
    x = 174,622,771.81/14,564.16
  6. Step 6: Final answer
    x = 11,989.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.