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Finding the Fourth Proportional to 19,713.62, 29,568.42 and 6,564.57

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Solution

The fourth proportional to 19,713.62, 29,568.42 and 6,564.57 is: 9,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.62 : 29,568.42 = 6,564.57 : x
  2. Step 2: Convert to fraction form
    19,713.62/29,568.42 = 6,564.57/x
  3. Step 3: Cross multiply
    19,713.62x = 29,568.42 × 6,564.57
  4. Step 4: Simplify right side
    19,713.62x = 194,103,962.88
  5. Step 5: Solve for x
    x = 194,103,962.88/19,713.62
  6. Step 6: Final answer
    x = 9,846.19

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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.