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Finding the Fourth Proportional to 14,649.02, 21,974.54 and 5,883.92

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Solution

The fourth proportional to 14,649.02, 21,974.54 and 5,883.92 is: 8,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.02 : 21,974.54 = 5,883.92 : x
  2. Step 2: Convert to fraction form
    14,649.02/21,974.54 = 5,883.92/x
  3. Step 3: Cross multiply
    14,649.02x = 21,974.54 × 5,883.92
  4. Step 4: Simplify right side
    14,649.02x = 129,296,435.40
  5. Step 5: Solve for x
    x = 129,296,435.40/14,649.02
  6. Step 6: Final answer
    x = 8,826.29

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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.