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Finding the Fourth Proportional to 14,673, 22,007.26 and 5,905.64

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Solution

The fourth proportional to 14,673, 22,007.26 and 5,905.64 is: 8,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673 : 22,007.26 = 5,905.64 : x
  2. Step 2: Convert to fraction form
    14,673/22,007.26 = 5,905.64/x
  3. Step 3: Cross multiply
    14,673x = 22,007.26 × 5,905.64
  4. Step 4: Simplify right side
    14,673x = 129,966,954.95
  5. Step 5: Solve for x
    x = 129,966,954.95/14,673
  6. Step 6: Final answer
    x = 8,857.56

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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.