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Finding the Fourth Proportional to 24,221.61, 33,428.79 and 13,611

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Solution

The fourth proportional to 24,221.61, 33,428.79 and 13,611 is: 18,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.61 : 33,428.79 = 13,611 : x
  2. Step 2: Convert to fraction form
    24,221.61/33,428.79 = 13,611/x
  3. Step 3: Cross multiply
    24,221.61x = 33,428.79 × 13,611
  4. Step 4: Simplify right side
    24,221.61x = 454,999,260.69
  5. Step 5: Solve for x
    x = 454,999,260.69/24,221.61
  6. Step 6: Final answer
    x = 18,784.85

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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.