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Finding the Fourth Proportional to 23,768.10, 32,800.37 and 13,012.80

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Solution

The fourth proportional to 23,768.10, 32,800.37 and 13,012.80 is: 17,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.10 : 32,800.37 = 13,012.80 : x
  2. Step 2: Convert to fraction form
    23,768.10/32,800.37 = 13,012.80/x
  3. Step 3: Cross multiply
    23,768.10x = 32,800.37 × 13,012.80
  4. Step 4: Simplify right side
    23,768.10x = 426,824,425.67
  5. Step 5: Solve for x
    x = 426,824,425.67/23,768.10
  6. Step 6: Final answer
    x = 17,957.87

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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.