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Finding the Fourth Proportional to 24,523.16, 33,842.00 and 13,910.74

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Solution

The fourth proportional to 24,523.16, 33,842.00 and 13,910.74 is: 19,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.16 : 33,842.00 = 13,910.74 : x
  2. Step 2: Convert to fraction form
    24,523.16/33,842.00 = 13,910.74/x
  3. Step 3: Cross multiply
    24,523.16x = 33,842.00 × 13,910.74
  4. Step 4: Simplify right side
    24,523.16x = 470,767,213.25
  5. Step 5: Solve for x
    x = 470,767,213.25/24,523.16
  6. Step 6: Final answer
    x = 19,196.85

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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.