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Finding the Fourth Proportional to 19,446.64, 29,163.84 and 6,295.84

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Solution

The fourth proportional to 19,446.64, 29,163.84 and 6,295.84 is: 9,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.64 : 29,163.84 = 6,295.84 : x
  2. Step 2: Convert to fraction form
    19,446.64/29,163.84 = 6,295.84/x
  3. Step 3: Cross multiply
    19,446.64x = 29,163.84 × 6,295.84
  4. Step 4: Simplify right side
    19,446.64x = 183,610,870.43
  5. Step 5: Solve for x
    x = 183,610,870.43/19,446.64
  6. Step 6: Final answer
    x = 9,441.78

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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.