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Finding the Fourth Proportional to 15,897, 23,825.40 and 13,917.78

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Solution

The fourth proportional to 15,897, 23,825.40 and 13,917.78 is: 20,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 23,825.40 = 13,917.78 : x
  2. Step 2: Convert to fraction form
    15,897/23,825.40 = 13,917.78/x
  3. Step 3: Cross multiply
    15,897x = 23,825.40 × 13,917.78
  4. Step 4: Simplify right side
    15,897x = 331,596,675.61
  5. Step 5: Solve for x
    x = 331,596,675.61/15,897
  6. Step 6: Final answer
    x = 20,859.07

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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.