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Finding the Fourth Proportional to 30,816.80, 42,527.28 and 16,669.76

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Solution

The fourth proportional to 30,816.80, 42,527.28 and 16,669.76 is: 23,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.80 : 42,527.28 = 16,669.76 : x
  2. Step 2: Convert to fraction form
    30,816.80/42,527.28 = 16,669.76/x
  3. Step 3: Cross multiply
    30,816.80x = 42,527.28 × 16,669.76
  4. Step 4: Simplify right side
    30,816.80x = 708,919,551.05
  5. Step 5: Solve for x
    x = 708,919,551.05/30,816.80
  6. Step 6: Final answer
    x = 23,004.32

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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.