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Finding the Fourth Proportional to 30,769.65, 42,462.17 and 16,622.51

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Solution

The fourth proportional to 30,769.65, 42,462.17 and 16,622.51 is: 22,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.65 : 42,462.17 = 16,622.51 : x
  2. Step 2: Convert to fraction form
    30,769.65/42,462.17 = 16,622.51/x
  3. Step 3: Cross multiply
    30,769.65x = 42,462.17 × 16,622.51
  4. Step 4: Simplify right side
    30,769.65x = 705,827,550.02
  5. Step 5: Solve for x
    x = 705,827,550.02/30,769.65
  6. Step 6: Final answer
    x = 22,939.08

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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.