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Finding the Fourth Proportional to 14,561.75, 21,842.64 and 3,617.75

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Solution

The fourth proportional to 14,561.75, 21,842.64 and 3,617.75 is: 5,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.75 : 21,842.64 = 3,617.75 : x
  2. Step 2: Convert to fraction form
    14,561.75/21,842.64 = 3,617.75/x
  3. Step 3: Cross multiply
    14,561.75x = 21,842.64 × 3,617.75
  4. Step 4: Simplify right side
    14,561.75x = 79,021,210.86
  5. Step 5: Solve for x
    x = 79,021,210.86/14,561.75
  6. Step 6: Final answer
    x = 5,426.63

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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.