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Finding the Fourth Proportional to 16,382.16, 24,573.24 and 4,695.38

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Solution

The fourth proportional to 16,382.16, 24,573.24 and 4,695.38 is: 7,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.16 : 24,573.24 = 4,695.38 : x
  2. Step 2: Convert to fraction form
    16,382.16/24,573.24 = 4,695.38/x
  3. Step 3: Cross multiply
    16,382.16x = 24,573.24 × 4,695.38
  4. Step 4: Simplify right side
    16,382.16x = 115,380,576.77
  5. Step 5: Solve for x
    x = 115,380,576.77/16,382.16
  6. Step 6: Final answer
    x = 7,043.06

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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.