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Finding the Fourth Proportional to 15,782.14, 23,680.17 and 12,266.89

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Solution

The fourth proportional to 15,782.14, 23,680.17 and 12,266.89 is: 18,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.14 : 23,680.17 = 12,266.89 : x
  2. Step 2: Convert to fraction form
    15,782.14/23,680.17 = 12,266.89/x
  3. Step 3: Cross multiply
    15,782.14x = 23,680.17 × 12,266.89
  4. Step 4: Simplify right side
    15,782.14x = 290,482,149.07
  5. Step 5: Solve for x
    x = 290,482,149.07/15,782.14
  6. Step 6: Final answer
    x = 18,405.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.