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Finding the Fourth Proportional to 13,758.34, 20,618.06 and 6,837.70

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Solution

The fourth proportional to 13,758.34, 20,618.06 and 6,837.70 is: 10,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.34 : 20,618.06 = 6,837.70 : x
  2. Step 2: Convert to fraction form
    13,758.34/20,618.06 = 6,837.70/x
  3. Step 3: Cross multiply
    13,758.34x = 20,618.06 × 6,837.70
  4. Step 4: Simplify right side
    13,758.34x = 140,980,108.86
  5. Step 5: Solve for x
    x = 140,980,108.86/13,758.34
  6. Step 6: Final answer
    x = 10,246.88

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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.