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Finding the Fourth Proportional to 23,219.29, 32,042.34 and 12,609

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Solution

The fourth proportional to 23,219.29, 32,042.34 and 12,609 is: 17,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.29 : 32,042.34 = 12,609 : x
  2. Step 2: Convert to fraction form
    23,219.29/32,042.34 = 12,609/x
  3. Step 3: Cross multiply
    23,219.29x = 32,042.34 × 12,609
  4. Step 4: Simplify right side
    23,219.29x = 404,021,865.06
  5. Step 5: Solve for x
    x = 404,021,865.06/23,219.29
  6. Step 6: Final answer
    x = 17,400.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.