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Finding the Fourth Proportional to 23,754.65, 32,780.94 and 13,144.28

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Solution

The fourth proportional to 23,754.65, 32,780.94 and 13,144.28 is: 18,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.65 : 32,780.94 = 13,144.28 : x
  2. Step 2: Convert to fraction form
    23,754.65/32,780.94 = 13,144.28/x
  3. Step 3: Cross multiply
    23,754.65x = 32,780.94 × 13,144.28
  4. Step 4: Simplify right side
    23,754.65x = 430,881,690.12
  5. Step 5: Solve for x
    x = 430,881,690.12/23,754.65
  6. Step 6: Final answer
    x = 18,138.84

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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.