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Finding the Fourth Proportional to 34,514.70, 51,771.97 and 9,554.67

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Solution

The fourth proportional to 34,514.70, 51,771.97 and 9,554.67 is: 14,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514.70 : 51,771.97 = 9,554.67 : x
  2. Step 2: Convert to fraction form
    34,514.70/51,771.97 = 9,554.67/x
  3. Step 3: Cross multiply
    34,514.70x = 51,771.97 × 9,554.67
  4. Step 4: Simplify right side
    34,514.70x = 494,664,064.71
  5. Step 5: Solve for x
    x = 494,664,064.71/34,514.70
  6. Step 6: Final answer
    x = 14,331.98

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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.