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Finding the Fourth Proportional to 22,308.50, 30,786.09 and 12,372.50

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Solution

The fourth proportional to 22,308.50, 30,786.09 and 12,372.50 is: 17,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.50 : 30,786.09 = 12,372.50 : x
  2. Step 2: Convert to fraction form
    22,308.50/30,786.09 = 12,372.50/x
  3. Step 3: Cross multiply
    22,308.50x = 30,786.09 × 12,372.50
  4. Step 4: Simplify right side
    22,308.50x = 380,900,898.53
  5. Step 5: Solve for x
    x = 380,900,898.53/22,308.50
  6. Step 6: Final answer
    x = 17,074.25

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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.