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Finding the Fourth Proportional to 14,682.40, 20,261.24 and 7,967.68

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Solution

The fourth proportional to 14,682.40, 20,261.24 and 7,967.68 is: 10,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.40 : 20,261.24 = 7,967.68 : x
  2. Step 2: Convert to fraction form
    14,682.40/20,261.24 = 7,967.68/x
  3. Step 3: Cross multiply
    14,682.40x = 20,261.24 × 7,967.68
  4. Step 4: Simplify right side
    14,682.40x = 161,435,076.72
  5. Step 5: Solve for x
    x = 161,435,076.72/14,682.40
  6. Step 6: Final answer
    x = 10,995.14

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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.