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Finding the Fourth Proportional to 22,867, 34,299.90 and 12,341.64

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Solution

The fourth proportional to 22,867, 34,299.90 and 12,341.64 is: 18,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867 : 34,299.90 = 12,341.64 : x
  2. Step 2: Convert to fraction form
    22,867/34,299.90 = 12,341.64/x
  3. Step 3: Cross multiply
    22,867x = 34,299.90 × 12,341.64
  4. Step 4: Simplify right side
    22,867x = 423,317,017.84
  5. Step 5: Solve for x
    x = 423,317,017.84/22,867
  6. Step 6: Final answer
    x = 18,512.14

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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.