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Finding the Fourth Proportional to 16,453, 22,705.46 and 9,001.16

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Solution

The fourth proportional to 16,453, 22,705.46 and 9,001.16 is: 12,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453 : 22,705.46 = 9,001.16 : x
  2. Step 2: Convert to fraction form
    16,453/22,705.46 = 9,001.16/x
  3. Step 3: Cross multiply
    16,453x = 22,705.46 × 9,001.16
  4. Step 4: Simplify right side
    16,453x = 204,375,478.33
  5. Step 5: Solve for x
    x = 204,375,478.33/16,453
  6. Step 6: Final answer
    x = 12,421.78

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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.