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Finding the Fourth Proportional to 14,649.75, 21,967.74 and 6,324.57

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Solution

The fourth proportional to 14,649.75, 21,967.74 and 6,324.57 is: 9,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.75 : 21,967.74 = 6,324.57 : x
  2. Step 2: Convert to fraction form
    14,649.75/21,967.74 = 6,324.57/x
  3. Step 3: Cross multiply
    14,649.75x = 21,967.74 × 6,324.57
  4. Step 4: Simplify right side
    14,649.75x = 138,936,509.37
  5. Step 5: Solve for x
    x = 138,936,509.37/14,649.75
  6. Step 6: Final answer
    x = 9,483.88

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