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Finding the Fourth Proportional to 23,214.96, 34,788.39 and 14,423.22

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Solution

The fourth proportional to 23,214.96, 34,788.39 and 14,423.22 is: 21,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.96 : 34,788.39 = 14,423.22 : x
  2. Step 2: Convert to fraction form
    23,214.96/34,788.39 = 14,423.22/x
  3. Step 3: Cross multiply
    23,214.96x = 34,788.39 × 14,423.22
  4. Step 4: Simplify right side
    23,214.96x = 501,760,602.42
  5. Step 5: Solve for x
    x = 501,760,602.42/23,214.96
  6. Step 6: Final answer
    x = 21,613.68

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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.