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Finding the Fourth Proportional to 23,624.05, 35,411.10 and 7,825

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Solution

The fourth proportional to 23,624.05, 35,411.10 and 7,825 is: 11,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.05 : 35,411.10 = 7,825 : x
  2. Step 2: Convert to fraction form
    23,624.05/35,411.10 = 7,825/x
  3. Step 3: Cross multiply
    23,624.05x = 35,411.10 × 7,825
  4. Step 4: Simplify right side
    23,624.05x = 277,091,857.50
  5. Step 5: Solve for x
    x = 277,091,857.50/23,624.05
  6. Step 6: Final answer
    x = 11,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.