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Finding the Fourth Proportional to 12,373.69, 18,538.66 and 8,203.81

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Solution

The fourth proportional to 12,373.69, 18,538.66 and 8,203.81 is: 12,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.69 : 18,538.66 = 8,203.81 : x
  2. Step 2: Convert to fraction form
    12,373.69/18,538.66 = 8,203.81/x
  3. Step 3: Cross multiply
    12,373.69x = 18,538.66 × 8,203.81
  4. Step 4: Simplify right side
    12,373.69x = 152,087,644.29
  5. Step 5: Solve for x
    x = 152,087,644.29/12,373.69
  6. Step 6: Final answer
    x = 12,291.21

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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.