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Finding the Fourth Proportional to 13,814.55, 20,714.54 and 6,014.25

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Solution

The fourth proportional to 13,814.55, 20,714.54 and 6,014.25 is: 9,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.55 : 20,714.54 = 6,014.25 : x
  2. Step 2: Convert to fraction form
    13,814.55/20,714.54 = 6,014.25/x
  3. Step 3: Cross multiply
    13,814.55x = 20,714.54 × 6,014.25
  4. Step 4: Simplify right side
    13,814.55x = 124,582,392.12
  5. Step 5: Solve for x
    x = 124,582,392.12/13,814.55
  6. Step 6: Final answer
    x = 9,018.20

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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.