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Finding the Fourth Proportional to 19,782.42, 29,675.61 and 7,305.72

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Solution

The fourth proportional to 19,782.42, 29,675.61 and 7,305.72 is: 10,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.42 : 29,675.61 = 7,305.72 : x
  2. Step 2: Convert to fraction form
    19,782.42/29,675.61 = 7,305.72/x
  3. Step 3: Cross multiply
    19,782.42x = 29,675.61 × 7,305.72
  4. Step 4: Simplify right side
    19,782.42x = 216,801,697.49
  5. Step 5: Solve for x
    x = 216,801,697.49/19,782.42
  6. Step 6: Final answer
    x = 10,959.31

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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.