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Finding the Fourth Proportional to 11,714.40, 16,169.52 and 9,640.80

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Solution

The fourth proportional to 11,714.40, 16,169.52 and 9,640.80 is: 13,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.40 : 16,169.52 = 9,640.80 : x
  2. Step 2: Convert to fraction form
    11,714.40/16,169.52 = 9,640.80/x
  3. Step 3: Cross multiply
    11,714.40x = 16,169.52 × 9,640.80
  4. Step 4: Simplify right side
    11,714.40x = 155,887,108.42
  5. Step 5: Solve for x
    x = 155,887,108.42/11,714.40
  6. Step 6: Final answer
    x = 13,307.31

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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.