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Finding the Fourth Proportional to 14,677.56, 20,252.46 and 8,304.12

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Solution

The fourth proportional to 14,677.56, 20,252.46 and 8,304.12 is: 11,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.56 : 20,252.46 = 8,304.12 : x
  2. Step 2: Convert to fraction form
    14,677.56/20,252.46 = 8,304.12/x
  3. Step 3: Cross multiply
    14,677.56x = 20,252.46 × 8,304.12
  4. Step 4: Simplify right side
    14,677.56x = 168,178,858.14
  5. Step 5: Solve for x
    x = 168,178,858.14/14,677.56
  6. Step 6: Final answer
    x = 11,458.23

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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.