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Finding the Fourth Proportional to 26,383.28, 36,393.72 and 16,430

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Solution

The fourth proportional to 26,383.28, 36,393.72 and 16,430 is: 22,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.28 : 36,393.72 = 16,430 : x
  2. Step 2: Convert to fraction form
    26,383.28/36,393.72 = 16,430/x
  3. Step 3: Cross multiply
    26,383.28x = 36,393.72 × 16,430
  4. Step 4: Simplify right side
    26,383.28x = 597,948,819.60
  5. Step 5: Solve for x
    x = 597,948,819.60/26,383.28
  6. Step 6: Final answer
    x = 22,663.93

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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.