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Finding the Fourth Proportional to 15,857.86, 23,726.31 and 14,380.42

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Solution

The fourth proportional to 15,857.86, 23,726.31 and 14,380.42 is: 21,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.86 : 23,726.31 = 14,380.42 : x
  2. Step 2: Convert to fraction form
    15,857.86/23,726.31 = 14,380.42/x
  3. Step 3: Cross multiply
    15,857.86x = 23,726.31 × 14,380.42
  4. Step 4: Simplify right side
    15,857.86x = 341,194,302.85
  5. Step 5: Solve for x
    x = 341,194,302.85/15,857.86
  6. Step 6: Final answer
    x = 21,515.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.