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Finding the Fourth Proportional to 14,904, 20,571.84 and 9,936

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Solution

The fourth proportional to 14,904, 20,571.84 and 9,936 is: 13,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 20,571.84 = 9,936 : x
  2. Step 2: Convert to fraction form
    14,904/20,571.84 = 9,936/x
  3. Step 3: Cross multiply
    14,904x = 20,571.84 × 9,936
  4. Step 4: Simplify right side
    14,904x = 204,401,802.24
  5. Step 5: Solve for x
    x = 204,401,802.24/14,904
  6. Step 6: Final answer
    x = 13,714.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.