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Finding the Fourth Proportional to 25,015, 34,462.26 and 17,447.84

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Solution

The fourth proportional to 25,015, 34,462.26 and 17,447.84 is: 24,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,015 : 34,462.26 = 17,447.84 : x
  2. Step 2: Convert to fraction form
    25,015/34,462.26 = 17,447.84/x
  3. Step 3: Cross multiply
    25,015x = 34,462.26 × 17,447.84
  4. Step 4: Simplify right side
    25,015x = 601,291,998.52
  5. Step 5: Solve for x
    x = 601,291,998.52/25,015
  6. Step 6: Final answer
    x = 24,037.26

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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.