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Finding the Fourth Proportional to 24,635.76, 33,997.38 and 13,457.76

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Solution

The fourth proportional to 24,635.76, 33,997.38 and 13,457.76 is: 18,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635.76 : 33,997.38 = 13,457.76 : x
  2. Step 2: Convert to fraction form
    24,635.76/33,997.38 = 13,457.76/x
  3. Step 3: Cross multiply
    24,635.76x = 33,997.38 × 13,457.76
  4. Step 4: Simplify right side
    24,635.76x = 457,528,580.67
  5. Step 5: Solve for x
    x = 457,528,580.67/24,635.76
  6. Step 6: Final answer
    x = 18,571.73

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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.