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Finding the Fourth Proportional to 24,460.84, 33,770.28 and 17,740

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Solution

The fourth proportional to 24,460.84, 33,770.28 and 17,740 is: 24,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.84 : 33,770.28 = 17,740 : x
  2. Step 2: Convert to fraction form
    24,460.84/33,770.28 = 17,740/x
  3. Step 3: Cross multiply
    24,460.84x = 33,770.28 × 17,740
  4. Step 4: Simplify right side
    24,460.84x = 599,084,767.20
  5. Step 5: Solve for x
    x = 599,084,767.20/24,460.84
  6. Step 6: Final answer
    x = 24,491.59

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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.