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Finding the Fourth Proportional to 30,769.78, 42,462.32 and 16,622.63

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Solution

The fourth proportional to 30,769.78, 42,462.32 and 16,622.63 is: 22,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.78 : 42,462.32 = 16,622.63 : x
  2. Step 2: Convert to fraction form
    30,769.78/42,462.32 = 16,622.63/x
  3. Step 3: Cross multiply
    30,769.78x = 42,462.32 × 16,622.63
  4. Step 4: Simplify right side
    30,769.78x = 705,835,434.30
  5. Step 5: Solve for x
    x = 705,835,434.30/30,769.78
  6. Step 6: Final answer
    x = 22,939.24

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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.