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Finding the Fourth Proportional to 16,207.31, 22,362.17 and 9,133.73

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Solution

The fourth proportional to 16,207.31, 22,362.17 and 9,133.73 is: 12,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.31 : 22,362.17 = 9,133.73 : x
  2. Step 2: Convert to fraction form
    16,207.31/22,362.17 = 9,133.73/x
  3. Step 3: Cross multiply
    16,207.31x = 22,362.17 × 9,133.73
  4. Step 4: Simplify right side
    16,207.31x = 204,249,865.51
  5. Step 5: Solve for x
    x = 204,249,865.51/16,207.31
  6. Step 6: Final answer
    x = 12,602.33

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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.