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Finding the Fourth Proportional to 24,762.34, 34,171.74 and 13,431.62

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Solution

The fourth proportional to 24,762.34, 34,171.74 and 13,431.62 is: 18,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.34 : 34,171.74 = 13,431.62 : x
  2. Step 2: Convert to fraction form
    24,762.34/34,171.74 = 13,431.62/x
  3. Step 3: Cross multiply
    24,762.34x = 34,171.74 × 13,431.62
  4. Step 4: Simplify right side
    24,762.34x = 458,981,911.85
  5. Step 5: Solve for x
    x = 458,981,911.85/24,762.34
  6. Step 6: Final answer
    x = 18,535.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.