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Finding the Fourth Proportional to 22,783.92, 31,456.42 and 14,297.70

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Solution

The fourth proportional to 22,783.92, 31,456.42 and 14,297.70 is: 19,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.92 : 31,456.42 = 14,297.70 : x
  2. Step 2: Convert to fraction form
    22,783.92/31,456.42 = 14,297.70/x
  3. Step 3: Cross multiply
    22,783.92x = 31,456.42 × 14,297.70
  4. Step 4: Simplify right side
    22,783.92x = 449,754,456.23
  5. Step 5: Solve for x
    x = 449,754,456.23/22,783.92
  6. Step 6: Final answer
    x = 19,739.99

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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.