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Finding the Fourth Proportional to 13,714.47, 20,559.54 and 6,690.55

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Solution

The fourth proportional to 13,714.47, 20,559.54 and 6,690.55 is: 10,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.47 : 20,559.54 = 6,690.55 : x
  2. Step 2: Convert to fraction form
    13,714.47/20,559.54 = 6,690.55/x
  3. Step 3: Cross multiply
    13,714.47x = 20,559.54 × 6,690.55
  4. Step 4: Simplify right side
    13,714.47x = 137,554,630.35
  5. Step 5: Solve for x
    x = 137,554,630.35/13,714.47
  6. Step 6: Final answer
    x = 10,029.89

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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.