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Finding the Fourth Proportional to 14,768, 20,379.84 and 8,144

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Solution

The fourth proportional to 14,768, 20,379.84 and 8,144 is: 11,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768 : 20,379.84 = 8,144 : x
  2. Step 2: Convert to fraction form
    14,768/20,379.84 = 8,144/x
  3. Step 3: Cross multiply
    14,768x = 20,379.84 × 8,144
  4. Step 4: Simplify right side
    14,768x = 165,973,416.96
  5. Step 5: Solve for x
    x = 165,973,416.96/14,768
  6. Step 6: Final answer
    x = 11,238.72

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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.