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Finding the Fourth Proportional to 16,378.81, 24,563.96 and 4,689.30

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Solution

The fourth proportional to 16,378.81, 24,563.96 and 4,689.30 is: 7,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.81 : 24,563.96 = 4,689.30 : x
  2. Step 2: Convert to fraction form
    16,378.81/24,563.96 = 4,689.30/x
  3. Step 3: Cross multiply
    16,378.81x = 24,563.96 × 4,689.30
  4. Step 4: Simplify right side
    16,378.81x = 115,187,631.36
  5. Step 5: Solve for x
    x = 115,187,631.36/16,378.81
  6. Step 6: Final answer
    x = 7,032.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.