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Finding the Fourth Proportional to 14,440.44, 21,664.98 and 6,649.32

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Solution

The fourth proportional to 14,440.44, 21,664.98 and 6,649.32 is: 9,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440.44 : 21,664.98 = 6,649.32 : x
  2. Step 2: Convert to fraction form
    14,440.44/21,664.98 = 6,649.32/x
  3. Step 3: Cross multiply
    14,440.44x = 21,664.98 × 6,649.32
  4. Step 4: Simplify right side
    14,440.44x = 144,057,384.81
  5. Step 5: Solve for x
    x = 144,057,384.81/14,440.44
  6. Step 6: Final answer
    x = 9,975.97

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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.