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Finding the Fourth Proportional to 13,664.84, 20,484.30 and 6,731.24

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Solution

The fourth proportional to 13,664.84, 20,484.30 and 6,731.24 is: 10,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.84 : 20,484.30 = 6,731.24 : x
  2. Step 2: Convert to fraction form
    13,664.84/20,484.30 = 6,731.24/x
  3. Step 3: Cross multiply
    13,664.84x = 20,484.30 × 6,731.24
  4. Step 4: Simplify right side
    13,664.84x = 137,884,739.53
  5. Step 5: Solve for x
    x = 137,884,739.53/13,664.84
  6. Step 6: Final answer
    x = 10,090.48

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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.