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Finding the Fourth Proportional to 20,822.70, 31,383.93 and 17,935.86

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Solution

The fourth proportional to 20,822.70, 31,383.93 and 17,935.86 is: 27,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.70 : 31,383.93 = 17,935.86 : x
  2. Step 2: Convert to fraction form
    20,822.70/31,383.93 = 17,935.86/x
  3. Step 3: Cross multiply
    20,822.70x = 31,383.93 × 17,935.86
  4. Step 4: Simplify right side
    20,822.70x = 562,897,774.73
  5. Step 5: Solve for x
    x = 562,897,774.73/20,822.70
  6. Step 6: Final answer
    x = 27,032.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.