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Finding the Fourth Proportional to 13,874.94, 20,814.84 and 6,475.59

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Solution

The fourth proportional to 13,874.94, 20,814.84 and 6,475.59 is: 9,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.94 : 20,814.84 = 6,475.59 : x
  2. Step 2: Convert to fraction form
    13,874.94/20,814.84 = 6,475.59/x
  3. Step 3: Cross multiply
    13,874.94x = 20,814.84 × 6,475.59
  4. Step 4: Simplify right side
    13,874.94x = 134,788,369.76
  5. Step 5: Solve for x
    x = 134,788,369.76/13,874.94
  6. Step 6: Final answer
    x = 9,714.52

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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.