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Finding the Fourth Proportional to 19,756.71, 29,634.86 and 4,965.30

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Solution

The fourth proportional to 19,756.71, 29,634.86 and 4,965.30 is: 7,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.71 : 29,634.86 = 4,965.30 : x
  2. Step 2: Convert to fraction form
    19,756.71/29,634.86 = 4,965.30/x
  3. Step 3: Cross multiply
    19,756.71x = 29,634.86 × 4,965.30
  4. Step 4: Simplify right side
    19,756.71x = 147,145,982.77
  5. Step 5: Solve for x
    x = 147,145,982.77/19,756.71
  6. Step 6: Final answer
    x = 7,447.90

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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.