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Finding the Fourth Proportional to 19,802.57, 29,713.64 and 9,273.33

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Solution

The fourth proportional to 19,802.57, 29,713.64 and 9,273.33 is: 13,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.57 : 29,713.64 = 9,273.33 : x
  2. Step 2: Convert to fraction form
    19,802.57/29,713.64 = 9,273.33/x
  3. Step 3: Cross multiply
    19,802.57x = 29,713.64 × 9,273.33
  4. Step 4: Simplify right side
    19,802.57x = 275,544,342.85
  5. Step 5: Solve for x
    x = 275,544,342.85/19,802.57
  6. Step 6: Final answer
    x = 13,914.58

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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.