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Finding the Fourth Proportional to 12,019.60, 16,586.53 and 6,714.33

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Solution

The fourth proportional to 12,019.60, 16,586.53 and 6,714.33 is: 9,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.60 : 16,586.53 = 6,714.33 : x
  2. Step 2: Convert to fraction form
    12,019.60/16,586.53 = 6,714.33/x
  3. Step 3: Cross multiply
    12,019.60x = 16,586.53 × 6,714.33
  4. Step 4: Simplify right side
    12,019.60x = 111,367,435.97
  5. Step 5: Solve for x
    x = 111,367,435.97/12,019.60
  6. Step 6: Final answer
    x = 9,265.49

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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.