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Finding the Fourth Proportional to 16,447.50, 24,671.46 and 4,760.73

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Solution

The fourth proportional to 16,447.50, 24,671.46 and 4,760.73 is: 7,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.50 : 24,671.46 = 4,760.73 : x
  2. Step 2: Convert to fraction form
    16,447.50/24,671.46 = 4,760.73/x
  3. Step 3: Cross multiply
    16,447.50x = 24,671.46 × 4,760.73
  4. Step 4: Simplify right side
    16,447.50x = 117,454,159.77
  5. Step 5: Solve for x
    x = 117,454,159.77/16,447.50
  6. Step 6: Final answer
    x = 7,141.16

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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.