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Finding the Fourth Proportional to 12,644.60, 18,969.54 and 4,853.36

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Solution

The fourth proportional to 12,644.60, 18,969.54 and 4,853.36 is: 7,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.60 : 18,969.54 = 4,853.36 : x
  2. Step 2: Convert to fraction form
    12,644.60/18,969.54 = 4,853.36/x
  3. Step 3: Cross multiply
    12,644.60x = 18,969.54 × 4,853.36
  4. Step 4: Simplify right side
    12,644.60x = 92,066,006.65
  5. Step 5: Solve for x
    x = 92,066,006.65/12,644.60
  6. Step 6: Final answer
    x = 7,281.05

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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.