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Finding the Fourth Proportional to 24,500.50, 33,813.52 and 13,892.06

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Solution

The fourth proportional to 24,500.50, 33,813.52 and 13,892.06 is: 19,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.50 : 33,813.52 = 13,892.06 : x
  2. Step 2: Convert to fraction form
    24,500.50/33,813.52 = 13,892.06/x
  3. Step 3: Cross multiply
    24,500.50x = 33,813.52 × 13,892.06
  4. Step 4: Simplify right side
    24,500.50x = 469,739,498.45
  5. Step 5: Solve for x
    x = 469,739,498.45/24,500.50
  6. Step 6: Final answer
    x = 19,172.65

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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.