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Finding the Fourth Proportional to 30,769.89, 42,462.49 and 16,622.74

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Solution

The fourth proportional to 30,769.89, 42,462.49 and 16,622.74 is: 22,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.89 : 42,462.49 = 16,622.74 : x
  2. Step 2: Convert to fraction form
    30,769.89/42,462.49 = 16,622.74/x
  3. Step 3: Cross multiply
    30,769.89x = 42,462.49 × 16,622.74
  4. Step 4: Simplify right side
    30,769.89x = 705,842,718.71
  5. Step 5: Solve for x
    x = 705,842,718.71/30,769.89
  6. Step 6: Final answer
    x = 22,939.40

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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.