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Finding the Fourth Proportional to 13,022.73, 17,952.71 and 9,290.25

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Solution

The fourth proportional to 13,022.73, 17,952.71 and 9,290.25 is: 12,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.73 : 17,952.71 = 9,290.25 : x
  2. Step 2: Convert to fraction form
    13,022.73/17,952.71 = 9,290.25/x
  3. Step 3: Cross multiply
    13,022.73x = 17,952.71 × 9,290.25
  4. Step 4: Simplify right side
    13,022.73x = 166,785,117.63
  5. Step 5: Solve for x
    x = 166,785,117.63/13,022.73
  6. Step 6: Final answer
    x = 12,807.23

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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.