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Finding the Fourth Proportional to 14,233.86, 19,634.54 and 8,264.75

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Solution

The fourth proportional to 14,233.86, 19,634.54 and 8,264.75 is: 11,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.86 : 19,634.54 = 8,264.75 : x
  2. Step 2: Convert to fraction form
    14,233.86/19,634.54 = 8,264.75/x
  3. Step 3: Cross multiply
    14,233.86x = 19,634.54 × 8,264.75
  4. Step 4: Simplify right side
    14,233.86x = 162,274,424.97
  5. Step 5: Solve for x
    x = 162,274,424.97/14,233.86
  6. Step 6: Final answer
    x = 11,400.59

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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.