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Finding the Fourth Proportional to 13,291.80, 18,342.10 and 7,323.41

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Solution

The fourth proportional to 13,291.80, 18,342.10 and 7,323.41 is: 10,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.80 : 18,342.10 = 7,323.41 : x
  2. Step 2: Convert to fraction form
    13,291.80/18,342.10 = 7,323.41/x
  3. Step 3: Cross multiply
    13,291.80x = 18,342.10 × 7,323.41
  4. Step 4: Simplify right side
    13,291.80x = 134,326,732.38
  5. Step 5: Solve for x
    x = 134,326,732.38/13,291.80
  6. Step 6: Final answer
    x = 10,105.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.