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Finding the Fourth Proportional to 23,682, 35,529.96 and 7,042.16

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Solution

The fourth proportional to 23,682, 35,529.96 and 7,042.16 is: 10,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 35,529.96 = 7,042.16 : x
  2. Step 2: Convert to fraction form
    23,682/35,529.96 = 7,042.16/x
  3. Step 3: Cross multiply
    23,682x = 35,529.96 × 7,042.16
  4. Step 4: Simplify right side
    23,682x = 250,207,663.11
  5. Step 5: Solve for x
    x = 250,207,663.11/23,682
  6. Step 6: Final answer
    x = 10,565.31

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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.