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Finding the Fourth Proportional to 12,299.19, 18,448.79 and 5,274.66

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Solution

The fourth proportional to 12,299.19, 18,448.79 and 5,274.66 is: 7,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.19 : 18,448.79 = 5,274.66 : x
  2. Step 2: Convert to fraction form
    12,299.19/18,448.79 = 5,274.66/x
  3. Step 3: Cross multiply
    12,299.19x = 18,448.79 × 5,274.66
  4. Step 4: Simplify right side
    12,299.19x = 97,311,094.66
  5. Step 5: Solve for x
    x = 97,311,094.66/12,299.19
  6. Step 6: Final answer
    x = 7,911.99

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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.