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Finding the Fourth Proportional to 12,310.65, 18,448.07 and 7,029.36

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Solution

The fourth proportional to 12,310.65, 18,448.07 and 7,029.36 is: 10,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.65 : 18,448.07 = 7,029.36 : x
  2. Step 2: Convert to fraction form
    12,310.65/18,448.07 = 7,029.36/x
  3. Step 3: Cross multiply
    12,310.65x = 18,448.07 × 7,029.36
  4. Step 4: Simplify right side
    12,310.65x = 129,678,090.19
  5. Step 5: Solve for x
    x = 129,678,090.19/12,310.65
  6. Step 6: Final answer
    x = 10,533.81

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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.