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Finding the Fourth Proportional to 20,807.72, 31,196.99 and 7,658.38

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Solution

The fourth proportional to 20,807.72, 31,196.99 and 7,658.38 is: 11,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.72 : 31,196.99 = 7,658.38 : x
  2. Step 2: Convert to fraction form
    20,807.72/31,196.99 = 7,658.38/x
  3. Step 3: Cross multiply
    20,807.72x = 31,196.99 × 7,658.38
  4. Step 4: Simplify right side
    20,807.72x = 238,918,404.28
  5. Step 5: Solve for x
    x = 238,918,404.28/20,807.72
  6. Step 6: Final answer
    x = 11,482.20

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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.