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Finding the Fourth Proportional to 12,971.73, 19,426.40 and 7,408.21

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Solution

The fourth proportional to 12,971.73, 19,426.40 and 7,408.21 is: 11,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.73 : 19,426.40 = 7,408.21 : x
  2. Step 2: Convert to fraction form
    12,971.73/19,426.40 = 7,408.21/x
  3. Step 3: Cross multiply
    12,971.73x = 19,426.40 × 7,408.21
  4. Step 4: Simplify right side
    12,971.73x = 143,914,850.74
  5. Step 5: Solve for x
    x = 143,914,850.74/12,971.73
  6. Step 6: Final answer
    x = 11,094.50

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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.