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Finding the Fourth Proportional to 23,771.34, 32,805.54 and 14,340.42

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Solution

The fourth proportional to 23,771.34, 32,805.54 and 14,340.42 is: 19,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.34 : 32,805.54 = 14,340.42 : x
  2. Step 2: Convert to fraction form
    23,771.34/32,805.54 = 14,340.42/x
  3. Step 3: Cross multiply
    23,771.34x = 32,805.54 × 14,340.42
  4. Step 4: Simplify right side
    23,771.34x = 470,445,221.93
  5. Step 5: Solve for x
    x = 470,445,221.93/23,771.34
  6. Step 6: Final answer
    x = 19,790.44

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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.