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Finding the Fourth Proportional to 13,903.81, 19,186.47 and 8,239.10

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Solution

The fourth proportional to 13,903.81, 19,186.47 and 8,239.10 is: 11,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.81 : 19,186.47 = 8,239.10 : x
  2. Step 2: Convert to fraction form
    13,903.81/19,186.47 = 8,239.10/x
  3. Step 3: Cross multiply
    13,903.81x = 19,186.47 × 8,239.10
  4. Step 4: Simplify right side
    13,903.81x = 158,079,149.04
  5. Step 5: Solve for x
    x = 158,079,149.04/13,903.81
  6. Step 6: Final answer
    x = 11,369.49

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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.