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Finding the Fourth Proportional to 14,185.12, 21,277.29 and 4,324

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Solution

The fourth proportional to 14,185.12, 21,277.29 and 4,324 is: 6,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.12 : 21,277.29 = 4,324 : x
  2. Step 2: Convert to fraction form
    14,185.12/21,277.29 = 4,324/x
  3. Step 3: Cross multiply
    14,185.12x = 21,277.29 × 4,324
  4. Step 4: Simplify right side
    14,185.12x = 92,003,001.96
  5. Step 5: Solve for x
    x = 92,003,001.96/14,185.12
  6. Step 6: Final answer
    x = 6,485.88

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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.