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Finding the Fourth Proportional to 12,269.51, 18,400.62 and 4,476.50

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Solution

The fourth proportional to 12,269.51, 18,400.62 and 4,476.50 is: 6,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.51 : 18,400.62 = 4,476.50 : x
  2. Step 2: Convert to fraction form
    12,269.51/18,400.62 = 4,476.50/x
  3. Step 3: Cross multiply
    12,269.51x = 18,400.62 × 4,476.50
  4. Step 4: Simplify right side
    12,269.51x = 82,370,375.43
  5. Step 5: Solve for x
    x = 82,370,375.43/12,269.51
  6. Step 6: Final answer
    x = 6,713.42

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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.