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Finding the Fourth Proportional to 13,000.23, 17,940.31 and 7,336.18

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Solution

The fourth proportional to 13,000.23, 17,940.31 and 7,336.18 is: 10,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.23 : 17,940.31 = 7,336.18 : x
  2. Step 2: Convert to fraction form
    13,000.23/17,940.31 = 7,336.18/x
  3. Step 3: Cross multiply
    13,000.23x = 17,940.31 × 7,336.18
  4. Step 4: Simplify right side
    13,000.23x = 131,613,253.71
  5. Step 5: Solve for x
    x = 131,613,253.71/13,000.23
  6. Step 6: Final answer
    x = 10,123.92

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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.