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Finding the Fourth Proportional to 14,293.69, 21,441.76 and 3,905.44

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Solution

The fourth proportional to 14,293.69, 21,441.76 and 3,905.44 is: 5,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.69 : 21,441.76 = 3,905.44 : x
  2. Step 2: Convert to fraction form
    14,293.69/21,441.76 = 3,905.44/x
  3. Step 3: Cross multiply
    14,293.69x = 21,441.76 × 3,905.44
  4. Step 4: Simplify right side
    14,293.69x = 83,739,443.81
  5. Step 5: Solve for x
    x = 83,739,443.81/14,293.69
  6. Step 6: Final answer
    x = 5,858.49

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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.