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Finding the Fourth Proportional to 11,830.85, 17,709.36 and 8,714.38

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Solution

The fourth proportional to 11,830.85, 17,709.36 and 8,714.38 is: 13,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.85 : 17,709.36 = 8,714.38 : x
  2. Step 2: Convert to fraction form
    11,830.85/17,709.36 = 8,714.38/x
  3. Step 3: Cross multiply
    11,830.85x = 17,709.36 × 8,714.38
  4. Step 4: Simplify right side
    11,830.85x = 154,326,004.05
  5. Step 5: Solve for x
    x = 154,326,004.05/11,830.85
  6. Step 6: Final answer
    x = 13,044.37

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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.