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Finding the Fourth Proportional to 30,516.74, 45,772.83 and 9,456.94

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Solution

The fourth proportional to 30,516.74, 45,772.83 and 9,456.94 is: 14,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.74 : 45,772.83 = 9,456.94 : x
  2. Step 2: Convert to fraction form
    30,516.74/45,772.83 = 9,456.94/x
  3. Step 3: Cross multiply
    30,516.74x = 45,772.83 × 9,456.94
  4. Step 4: Simplify right side
    30,516.74x = 432,870,906.94
  5. Step 5: Solve for x
    x = 432,870,906.94/30,516.74
  6. Step 6: Final answer
    x = 14,184.70

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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.