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Finding the Fourth Proportional to 14,613.66, 21,927.69 and 6,823.02

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Solution

The fourth proportional to 14,613.66, 21,927.69 and 6,823.02 is: 10,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.66 : 21,927.69 = 6,823.02 : x
  2. Step 2: Convert to fraction form
    14,613.66/21,927.69 = 6,823.02/x
  3. Step 3: Cross multiply
    14,613.66x = 21,927.69 × 6,823.02
  4. Step 4: Simplify right side
    14,613.66x = 149,613,067.42
  5. Step 5: Solve for x
    x = 149,613,067.42/14,613.66
  6. Step 6: Final answer
    x = 10,237.89

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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.