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Finding the Fourth Proportional to 23,754.42, 32,780.61 and 13,143.42

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Solution

The fourth proportional to 23,754.42, 32,780.61 and 13,143.42 is: 18,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.42 : 32,780.61 = 13,143.42 : x
  2. Step 2: Convert to fraction form
    23,754.42/32,780.61 = 13,143.42/x
  3. Step 3: Cross multiply
    23,754.42x = 32,780.61 × 13,143.42
  4. Step 4: Simplify right side
    23,754.42x = 430,849,325.09
  5. Step 5: Solve for x
    x = 430,849,325.09/23,754.42
  6. Step 6: Final answer
    x = 18,137.65

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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.