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Finding the Fourth Proportional to 16,380.74, 22,606.21 and 9,212.90

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Solution

The fourth proportional to 16,380.74, 22,606.21 and 9,212.90 is: 12,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.74 : 22,606.21 = 9,212.90 : x
  2. Step 2: Convert to fraction form
    16,380.74/22,606.21 = 9,212.90/x
  3. Step 3: Cross multiply
    16,380.74x = 22,606.21 × 9,212.90
  4. Step 4: Simplify right side
    16,380.74x = 208,268,752.11
  5. Step 5: Solve for x
    x = 208,268,752.11/16,380.74
  6. Step 6: Final answer
    x = 12,714.25

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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.