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Finding the Fourth Proportional to 23,857.65, 32,920.46 and 13,245.23

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Solution

The fourth proportional to 23,857.65, 32,920.46 and 13,245.23 is: 18,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.65 : 32,920.46 = 13,245.23 : x
  2. Step 2: Convert to fraction form
    23,857.65/32,920.46 = 13,245.23/x
  3. Step 3: Cross multiply
    23,857.65x = 32,920.46 × 13,245.23
  4. Step 4: Simplify right side
    23,857.65x = 436,039,130.15
  5. Step 5: Solve for x
    x = 436,039,130.15/23,857.65
  6. Step 6: Final answer
    x = 18,276.70

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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.