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Finding the Fourth Proportional to 19,622.66, 29,426.70 and 6,471.50

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Solution

The fourth proportional to 19,622.66, 29,426.70 and 6,471.50 is: 9,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.66 : 29,426.70 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    19,622.66/29,426.70 = 6,471.50/x
  3. Step 3: Cross multiply
    19,622.66x = 29,426.70 × 6,471.50
  4. Step 4: Simplify right side
    19,622.66x = 190,434,889.05
  5. Step 5: Solve for x
    x = 190,434,889.05/19,622.66
  6. Step 6: Final answer
    x = 9,704.85

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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.