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Finding the Fourth Proportional to 19,902.76, 29,829.50 and 17,442.38

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Solution

The fourth proportional to 19,902.76, 29,829.50 and 17,442.38 is: 26,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.76 : 29,829.50 = 17,442.38 : x
  2. Step 2: Convert to fraction form
    19,902.76/29,829.50 = 17,442.38/x
  3. Step 3: Cross multiply
    19,902.76x = 29,829.50 × 17,442.38
  4. Step 4: Simplify right side
    19,902.76x = 520,297,474.21
  5. Step 5: Solve for x
    x = 520,297,474.21/19,902.76
  6. Step 6: Final answer
    x = 26,141.98

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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.