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Finding the Fourth Proportional to 19,402.92, 29,104.38 and 9,009

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Solution

The fourth proportional to 19,402.92, 29,104.38 and 9,009 is: 13,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.92 : 29,104.38 = 9,009 : x
  2. Step 2: Convert to fraction form
    19,402.92/29,104.38 = 9,009/x
  3. Step 3: Cross multiply
    19,402.92x = 29,104.38 × 9,009
  4. Step 4: Simplify right side
    19,402.92x = 262,201,359.42
  5. Step 5: Solve for x
    x = 262,201,359.42/19,402.92
  6. Step 6: Final answer
    x = 13,513.50

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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.