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Finding the Fourth Proportional to 24,453.54, 36,653.82 and 11,982

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Solution

The fourth proportional to 24,453.54, 36,653.82 and 11,982 is: 17,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.54 : 36,653.82 = 11,982 : x
  2. Step 2: Convert to fraction form
    24,453.54/36,653.82 = 11,982/x
  3. Step 3: Cross multiply
    24,453.54x = 36,653.82 × 11,982
  4. Step 4: Simplify right side
    24,453.54x = 439,186,071.24
  5. Step 5: Solve for x
    x = 439,186,071.24/24,453.54
  6. Step 6: Final answer
    x = 17,960.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.