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Finding the Fourth Proportional to 14,148.54, 19,522.80 and 8,179.05

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Solution

The fourth proportional to 14,148.54, 19,522.80 and 8,179.05 is: 11,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.54 : 19,522.80 = 8,179.05 : x
  2. Step 2: Convert to fraction form
    14,148.54/19,522.80 = 8,179.05/x
  3. Step 3: Cross multiply
    14,148.54x = 19,522.80 × 8,179.05
  4. Step 4: Simplify right side
    14,148.54x = 159,677,957.34
  5. Step 5: Solve for x
    x = 159,677,957.34/14,148.54
  6. Step 6: Final answer
    x = 11,285.83

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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.