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Finding the Fourth Proportional to 19,710.81, 29,576.30 and 9,319.77

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Solution

The fourth proportional to 19,710.81, 29,576.30 and 9,319.77 is: 13,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.81 : 29,576.30 = 9,319.77 : x
  2. Step 2: Convert to fraction form
    19,710.81/29,576.30 = 9,319.77/x
  3. Step 3: Cross multiply
    19,710.81x = 29,576.30 × 9,319.77
  4. Step 4: Simplify right side
    19,710.81x = 275,644,266.85
  5. Step 5: Solve for x
    x = 275,644,266.85/19,710.81
  6. Step 6: Final answer
    x = 13,984.42

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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.