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Finding the Fourth Proportional to 23,774.41, 32,806.38 and 14,212.40

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Solution

The fourth proportional to 23,774.41, 32,806.38 and 14,212.40 is: 19,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.41 : 32,806.38 = 14,212.40 : x
  2. Step 2: Convert to fraction form
    23,774.41/32,806.38 = 14,212.40/x
  3. Step 3: Cross multiply
    23,774.41x = 32,806.38 × 14,212.40
  4. Step 4: Simplify right side
    23,774.41x = 466,257,284.38
  5. Step 5: Solve for x
    x = 466,257,284.38/23,774.41
  6. Step 6: Final answer
    x = 19,611.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.