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Finding the Fourth Proportional to 22,974.30, 34,461.06 and 13,092.50

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Solution

The fourth proportional to 22,974.30, 34,461.06 and 13,092.50 is: 19,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.30 : 34,461.06 = 13,092.50 : x
  2. Step 2: Convert to fraction form
    22,974.30/34,461.06 = 13,092.50/x
  3. Step 3: Cross multiply
    22,974.30x = 34,461.06 × 13,092.50
  4. Step 4: Simplify right side
    22,974.30x = 451,181,428.05
  5. Step 5: Solve for x
    x = 451,181,428.05/22,974.30
  6. Step 6: Final answer
    x = 19,638.53

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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.