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Finding the Fourth Proportional to 16,202.88, 24,305.40 and 4,516.92

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Solution

The fourth proportional to 16,202.88, 24,305.40 and 4,516.92 is: 6,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.88 : 24,305.40 = 4,516.92 : x
  2. Step 2: Convert to fraction form
    16,202.88/24,305.40 = 4,516.92/x
  3. Step 3: Cross multiply
    16,202.88x = 24,305.40 × 4,516.92
  4. Step 4: Simplify right side
    16,202.88x = 109,785,547.37
  5. Step 5: Solve for x
    x = 109,785,547.37/16,202.88
  6. Step 6: Final answer
    x = 6,775.68

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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.