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Finding the Fourth Proportional to 13,357.82, 18,434.31 and 7,308.47

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Solution

The fourth proportional to 13,357.82, 18,434.31 and 7,308.47 is: 10,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.82 : 18,434.31 = 7,308.47 : x
  2. Step 2: Convert to fraction form
    13,357.82/18,434.31 = 7,308.47/x
  3. Step 3: Cross multiply
    13,357.82x = 18,434.31 × 7,308.47
  4. Step 4: Simplify right side
    13,357.82x = 134,726,620.28
  5. Step 5: Solve for x
    x = 134,726,620.28/13,357.82
  6. Step 6: Final answer
    x = 10,085.97

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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.