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Finding the Fourth Proportional to 13,122.96, 19,662.53 and 9,220.38

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Solution

The fourth proportional to 13,122.96, 19,662.53 and 9,220.38 is: 13,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.96 : 19,662.53 = 9,220.38 : x
  2. Step 2: Convert to fraction form
    13,122.96/19,662.53 = 9,220.38/x
  3. Step 3: Cross multiply
    13,122.96x = 19,662.53 × 9,220.38
  4. Step 4: Simplify right side
    13,122.96x = 181,295,952.26
  5. Step 5: Solve for x
    x = 181,295,952.26/13,122.96
  6. Step 6: Final answer
    x = 13,815.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.