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Finding the Fourth Proportional to 14,613.44, 21,923.40 and 6,818

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Solution

The fourth proportional to 14,613.44, 21,923.40 and 6,818 is: 10,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.44 : 21,923.40 = 6,818 : x
  2. Step 2: Convert to fraction form
    14,613.44/21,923.40 = 6,818/x
  3. Step 3: Cross multiply
    14,613.44x = 21,923.40 × 6,818
  4. Step 4: Simplify right side
    14,613.44x = 149,473,741.20
  5. Step 5: Solve for x
    x = 149,473,741.20/14,613.44
  6. Step 6: Final answer
    x = 10,228.51

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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.