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Finding the Fourth Proportional to 13,022.82, 17,973.13 and 7,357.85

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Solution

The fourth proportional to 13,022.82, 17,973.13 and 7,357.85 is: 10,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.82 : 17,973.13 = 7,357.85 : x
  2. Step 2: Convert to fraction form
    13,022.82/17,973.13 = 7,357.85/x
  3. Step 3: Cross multiply
    13,022.82x = 17,973.13 × 7,357.85
  4. Step 4: Simplify right side
    13,022.82x = 132,243,594.57
  5. Step 5: Solve for x
    x = 132,243,594.57/13,022.82
  6. Step 6: Final answer
    x = 10,154.76

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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.