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Finding the Fourth Proportional to 19,797.57, 29,675.55 and 7,309.63

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Solution

The fourth proportional to 19,797.57, 29,675.55 and 7,309.63 is: 10,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.57 : 29,675.55 = 7,309.63 : x
  2. Step 2: Convert to fraction form
    19,797.57/29,675.55 = 7,309.63/x
  3. Step 3: Cross multiply
    19,797.57x = 29,675.55 × 7,309.63
  4. Step 4: Simplify right side
    19,797.57x = 216,917,290.55
  5. Step 5: Solve for x
    x = 216,917,290.55/19,797.57
  6. Step 6: Final answer
    x = 10,956.76

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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.