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Finding the Fourth Proportional to 19,710.68, 29,567.90 and 6,563.97

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Solution

The fourth proportional to 19,710.68, 29,567.90 and 6,563.97 is: 9,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.68 : 29,567.90 = 6,563.97 : x
  2. Step 2: Convert to fraction form
    19,710.68/29,567.90 = 6,563.97/x
  3. Step 3: Cross multiply
    19,710.68x = 29,567.90 × 6,563.97
  4. Step 4: Simplify right side
    19,710.68x = 194,082,824.97
  5. Step 5: Solve for x
    x = 194,082,824.97/19,710.68
  6. Step 6: Final answer
    x = 9,846.58

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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.