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Finding the Fourth Proportional to 24,459.84, 33,768.90 and 17,739

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Solution

The fourth proportional to 24,459.84, 33,768.90 and 17,739 is: 24,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.84 : 33,768.90 = 17,739 : x
  2. Step 2: Convert to fraction form
    24,459.84/33,768.90 = 17,739/x
  3. Step 3: Cross multiply
    24,459.84x = 33,768.90 × 17,739
  4. Step 4: Simplify right side
    24,459.84x = 599,026,517.10
  5. Step 5: Solve for x
    x = 599,026,517.10/24,459.84
  6. Step 6: Final answer
    x = 24,490.21

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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.