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Finding the Fourth Proportional to 16,145.57, 24,254.81 and 9,576.06

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Solution

The fourth proportional to 16,145.57, 24,254.81 and 9,576.06 is: 14,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.57 : 24,254.81 = 9,576.06 : x
  2. Step 2: Convert to fraction form
    16,145.57/24,254.81 = 9,576.06/x
  3. Step 3: Cross multiply
    16,145.57x = 24,254.81 × 9,576.06
  4. Step 4: Simplify right side
    16,145.57x = 232,265,467.97
  5. Step 5: Solve for x
    x = 232,265,467.97/16,145.57
  6. Step 6: Final answer
    x = 14,385.71

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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.