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Finding the Fourth Proportional to 12,096.25, 18,127.36 and 9,620.08

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Solution

The fourth proportional to 12,096.25, 18,127.36 and 9,620.08 is: 14,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.25 : 18,127.36 = 9,620.08 : x
  2. Step 2: Convert to fraction form
    12,096.25/18,127.36 = 9,620.08/x
  3. Step 3: Cross multiply
    12,096.25x = 18,127.36 × 9,620.08
  4. Step 4: Simplify right side
    12,096.25x = 174,386,653.39
  5. Step 5: Solve for x
    x = 174,386,653.39/12,096.25
  6. Step 6: Final answer
    x = 14,416.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.