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Finding the Fourth Proportional to 23,245.47, 32,078.97 and 13,812.21

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Solution

The fourth proportional to 23,245.47, 32,078.97 and 13,812.21 is: 19,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.47 : 32,078.97 = 13,812.21 : x
  2. Step 2: Convert to fraction form
    23,245.47/32,078.97 = 13,812.21/x
  3. Step 3: Cross multiply
    23,245.47x = 32,078.97 × 13,812.21
  4. Step 4: Simplify right side
    23,245.47x = 443,081,470.22
  5. Step 5: Solve for x
    x = 443,081,470.22/23,245.47
  6. Step 6: Final answer
    x = 19,060.98

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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.