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Finding the Fourth Proportional to 12,454.14, 18,689.30 and 4,662.88

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Solution

The fourth proportional to 12,454.14, 18,689.30 and 4,662.88 is: 6,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.14 : 18,689.30 = 4,662.88 : x
  2. Step 2: Convert to fraction form
    12,454.14/18,689.30 = 4,662.88/x
  3. Step 3: Cross multiply
    12,454.14x = 18,689.30 × 4,662.88
  4. Step 4: Simplify right side
    12,454.14x = 87,145,963.18
  5. Step 5: Solve for x
    x = 87,145,963.18/12,454.14
  6. Step 6: Final answer
    x = 6,997.35

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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.