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Finding the Fourth Proportional to 17,245.12, 23,774.16 and 14,581.84

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Solution

The fourth proportional to 17,245.12, 23,774.16 and 14,581.84 is: 20,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,245.12 : 23,774.16 = 14,581.84 : x
  2. Step 2: Convert to fraction form
    17,245.12/23,774.16 = 14,581.84/x
  3. Step 3: Cross multiply
    17,245.12x = 23,774.16 × 14,581.84
  4. Step 4: Simplify right side
    17,245.12x = 346,670,997.25
  5. Step 5: Solve for x
    x = 346,670,997.25/17,245.12
  6. Step 6: Final answer
    x = 20,102.56

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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.