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Finding the Fourth Proportional to 14,231.50, 19,635.64 and 9,193.88

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Solution

The fourth proportional to 14,231.50, 19,635.64 and 9,193.88 is: 12,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.50 : 19,635.64 = 9,193.88 : x
  2. Step 2: Convert to fraction form
    14,231.50/19,635.64 = 9,193.88/x
  3. Step 3: Cross multiply
    14,231.50x = 19,635.64 × 9,193.88
  4. Step 4: Simplify right side
    14,231.50x = 180,527,714.62
  5. Step 5: Solve for x
    x = 180,527,714.62/14,231.50
  6. Step 6: Final answer
    x = 12,685.08

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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.