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Finding the Fourth Proportional to 28,802.25, 39,747.51 and 16,227

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Solution

The fourth proportional to 28,802.25, 39,747.51 and 16,227 is: 22,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802.25 : 39,747.51 = 16,227 : x
  2. Step 2: Convert to fraction form
    28,802.25/39,747.51 = 16,227/x
  3. Step 3: Cross multiply
    28,802.25x = 39,747.51 × 16,227
  4. Step 4: Simplify right side
    28,802.25x = 644,982,844.77
  5. Step 5: Solve for x
    x = 644,982,844.77/28,802.25
  6. Step 6: Final answer
    x = 22,393.49

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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.