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Finding the Fourth Proportional to 14,682.32, 20,261.76 and 7,968.01

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Solution

The fourth proportional to 14,682.32, 20,261.76 and 7,968.01 is: 10,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.32 : 20,261.76 = 7,968.01 : x
  2. Step 2: Convert to fraction form
    14,682.32/20,261.76 = 7,968.01/x
  3. Step 3: Cross multiply
    14,682.32x = 20,261.76 × 7,968.01
  4. Step 4: Simplify right side
    14,682.32x = 161,445,863.75
  5. Step 5: Solve for x
    x = 161,445,863.75/14,682.32
  6. Step 6: Final answer
    x = 10,995.93

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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.