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Finding the Fourth Proportional to 22,765, 31,385.73 and 19,906.51

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Solution

The fourth proportional to 22,765, 31,385.73 and 19,906.51 is: 27,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765 : 31,385.73 = 19,906.51 : x
  2. Step 2: Convert to fraction form
    22,765/31,385.73 = 19,906.51/x
  3. Step 3: Cross multiply
    22,765x = 31,385.73 × 19,906.51
  4. Step 4: Simplify right side
    22,765x = 624,780,348.10
  5. Step 5: Solve for x
    x = 624,780,348.10/22,765
  6. Step 6: Final answer
    x = 27,444.78

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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.