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Finding the Fourth Proportional to 22,612.96, 31,226.16 and 14,668

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Solution

The fourth proportional to 22,612.96, 31,226.16 and 14,668 is: 20,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.96 : 31,226.16 = 14,668 : x
  2. Step 2: Convert to fraction form
    22,612.96/31,226.16 = 14,668/x
  3. Step 3: Cross multiply
    22,612.96x = 31,226.16 × 14,668
  4. Step 4: Simplify right side
    22,612.96x = 458,025,314.88
  5. Step 5: Solve for x
    x = 458,025,314.88/22,612.96
  6. Step 6: Final answer
    x = 20,254.99

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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.