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Finding the Fourth Proportional to 12,448.13, 18,635.29 and 7,502.78

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Solution

The fourth proportional to 12,448.13, 18,635.29 and 7,502.78 is: 11,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.13 : 18,635.29 = 7,502.78 : x
  2. Step 2: Convert to fraction form
    12,448.13/18,635.29 = 7,502.78/x
  3. Step 3: Cross multiply
    12,448.13x = 18,635.29 × 7,502.78
  4. Step 4: Simplify right side
    12,448.13x = 139,816,425.22
  5. Step 5: Solve for x
    x = 139,816,425.22/12,448.13
  6. Step 6: Final answer
    x = 11,231.92

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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.