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Finding the Fourth Proportional to 22,456.54, 30,984.32 and 16,477.83

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Solution

The fourth proportional to 22,456.54, 30,984.32 and 16,477.83 is: 22,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.54 : 30,984.32 = 16,477.83 : x
  2. Step 2: Convert to fraction form
    22,456.54/30,984.32 = 16,477.83/x
  3. Step 3: Cross multiply
    22,456.54x = 30,984.32 × 16,477.83
  4. Step 4: Simplify right side
    22,456.54x = 510,554,398.82
  5. Step 5: Solve for x
    x = 510,554,398.82/22,456.54
  6. Step 6: Final answer
    x = 22,735.22

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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.