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Finding the Fourth Proportional to 19,756.89, 29,619.09 and 9,221.70

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Solution

The fourth proportional to 19,756.89, 29,619.09 and 9,221.70 is: 13,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.89 : 29,619.09 = 9,221.70 : x
  2. Step 2: Convert to fraction form
    19,756.89/29,619.09 = 9,221.70/x
  3. Step 3: Cross multiply
    19,756.89x = 29,619.09 × 9,221.70
  4. Step 4: Simplify right side
    19,756.89x = 273,138,332.65
  5. Step 5: Solve for x
    x = 273,138,332.65/19,756.89
  6. Step 6: Final answer
    x = 13,824.97

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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.