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Finding the Fourth Proportional to 30,769.72, 42,462.16 and 16,622.52

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Solution

The fourth proportional to 30,769.72, 42,462.16 and 16,622.52 is: 22,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.72 : 42,462.16 = 16,622.52 : x
  2. Step 2: Convert to fraction form
    30,769.72/42,462.16 = 16,622.52/x
  3. Step 3: Cross multiply
    30,769.72x = 42,462.16 × 16,622.52
  4. Step 4: Simplify right side
    30,769.72x = 705,828,103.84
  5. Step 5: Solve for x
    x = 705,828,103.84/30,769.72
  6. Step 6: Final answer
    x = 22,939.05

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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.