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Finding the Fourth Proportional to 24,616.50, 33,966.28 and 14,546.58

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Solution

The fourth proportional to 24,616.50, 33,966.28 and 14,546.58 is: 20,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.50 : 33,966.28 = 14,546.58 : x
  2. Step 2: Convert to fraction form
    24,616.50/33,966.28 = 14,546.58/x
  3. Step 3: Cross multiply
    24,616.50x = 33,966.28 × 14,546.58
  4. Step 4: Simplify right side
    24,616.50x = 494,093,209.32
  5. Step 5: Solve for x
    x = 494,093,209.32/24,616.50
  6. Step 6: Final answer
    x = 20,071.63

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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.