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Finding the Fourth Proportional to 25,609, 35,340.42 and 13,833

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Solution

The fourth proportional to 25,609, 35,340.42 and 13,833 is: 19,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609 : 35,340.42 = 13,833 : x
  2. Step 2: Convert to fraction form
    25,609/35,340.42 = 13,833/x
  3. Step 3: Cross multiply
    25,609x = 35,340.42 × 13,833
  4. Step 4: Simplify right side
    25,609x = 488,864,029.86
  5. Step 5: Solve for x
    x = 488,864,029.86/25,609
  6. Step 6: Final answer
    x = 19,089.54

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Why These Related Problems?

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