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Finding the Fourth Proportional to 19,601.54, 29,402.25 and 7,914.62

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Solution

The fourth proportional to 19,601.54, 29,402.25 and 7,914.62 is: 11,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,601.54 : 29,402.25 = 7,914.62 : x
  2. Step 2: Convert to fraction form
    19,601.54/29,402.25 = 7,914.62/x
  3. Step 3: Cross multiply
    19,601.54x = 29,402.25 × 7,914.62
  4. Step 4: Simplify right side
    19,601.54x = 232,707,635.90
  5. Step 5: Solve for x
    x = 232,707,635.90/19,601.54
  6. Step 6: Final answer
    x = 11,871.91

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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.