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Finding the Fourth Proportional to 23,695.86, 35,531.86 and 7,895.29

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Solution

The fourth proportional to 23,695.86, 35,531.86 and 7,895.29 is: 11,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.86 : 35,531.86 = 7,895.29 : x
  2. Step 2: Convert to fraction form
    23,695.86/35,531.86 = 7,895.29/x
  3. Step 3: Cross multiply
    23,695.86x = 35,531.86 × 7,895.29
  4. Step 4: Simplify right side
    23,695.86x = 280,534,338.94
  5. Step 5: Solve for x
    x = 280,534,338.94/23,695.86
  6. Step 6: Final answer
    x = 11,838.96

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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.