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Finding the Fourth Proportional to 23,071.41, 34,410.14 and 19,584.36

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Solution

The fourth proportional to 23,071.41, 34,410.14 and 19,584.36 is: 29,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.41 : 34,410.14 = 19,584.36 : x
  2. Step 2: Convert to fraction form
    23,071.41/34,410.14 = 19,584.36/x
  3. Step 3: Cross multiply
    23,071.41x = 34,410.14 × 19,584.36
  4. Step 4: Simplify right side
    23,071.41x = 673,900,471.49
  5. Step 5: Solve for x
    x = 673,900,471.49/23,071.41
  6. Step 6: Final answer
    x = 29,209.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.