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Finding the Fourth Proportional to 24,285.76, 33,516.76 and 14,213.60

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Solution

The fourth proportional to 24,285.76, 33,516.76 and 14,213.60 is: 19,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.76 : 33,516.76 = 14,213.60 : x
  2. Step 2: Convert to fraction form
    24,285.76/33,516.76 = 14,213.60/x
  3. Step 3: Cross multiply
    24,285.76x = 33,516.76 × 14,213.60
  4. Step 4: Simplify right side
    24,285.76x = 476,393,819.94
  5. Step 5: Solve for x
    x = 476,393,819.94/24,285.76
  6. Step 6: Final answer
    x = 19,616.18

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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.