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Finding the Fourth Proportional to 12,381.60, 18,573.27 and 4,986.09

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Solution

The fourth proportional to 12,381.60, 18,573.27 and 4,986.09 is: 7,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 18,573.27 = 4,986.09 : x
  2. Step 2: Convert to fraction form
    12,381.60/18,573.27 = 4,986.09/x
  3. Step 3: Cross multiply
    12,381.60x = 18,573.27 × 4,986.09
  4. Step 4: Simplify right side
    12,381.60x = 92,607,995.81
  5. Step 5: Solve for x
    x = 92,607,995.81/12,381.60
  6. Step 6: Final answer
    x = 7,479.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.