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Finding the Fourth Proportional to 14,662.53, 21,977.28 and 7,272.29

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Solution

The fourth proportional to 14,662.53, 21,977.28 and 7,272.29 is: 10,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.53 : 21,977.28 = 7,272.29 : x
  2. Step 2: Convert to fraction form
    14,662.53/21,977.28 = 7,272.29/x
  3. Step 3: Cross multiply
    14,662.53x = 21,977.28 × 7,272.29
  4. Step 4: Simplify right side
    14,662.53x = 159,825,043.68
  5. Step 5: Solve for x
    x = 159,825,043.68/14,662.53
  6. Step 6: Final answer
    x = 10,900.24

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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.