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Finding the Fourth Proportional to 17,720.75, 24,457.34 and 13,464.88

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Solution

The fourth proportional to 17,720.75, 24,457.34 and 13,464.88 is: 18,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.75 : 24,457.34 = 13,464.88 : x
  2. Step 2: Convert to fraction form
    17,720.75/24,457.34 = 13,464.88/x
  3. Step 3: Cross multiply
    17,720.75x = 24,457.34 × 13,464.88
  4. Step 4: Simplify right side
    17,720.75x = 329,315,120.74
  5. Step 5: Solve for x
    x = 329,315,120.74/17,720.75
  6. Step 6: Final answer
    x = 18,583.59

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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.