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Finding the Fourth Proportional to 24,254.73, 36,380.61 and 14,265

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Solution

The fourth proportional to 24,254.73, 36,380.61 and 14,265 is: 21,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.73 : 36,380.61 = 14,265 : x
  2. Step 2: Convert to fraction form
    24,254.73/36,380.61 = 14,265/x
  3. Step 3: Cross multiply
    24,254.73x = 36,380.61 × 14,265
  4. Step 4: Simplify right side
    24,254.73x = 518,969,401.65
  5. Step 5: Solve for x
    x = 518,969,401.65/24,254.73
  6. Step 6: Final answer
    x = 21,396.63

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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.