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Finding the Fourth Proportional to 16,453, 22,705.68 and 9,001

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Solution

The fourth proportional to 16,453, 22,705.68 and 9,001 is: 12,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453 : 22,705.68 = 9,001 : x
  2. Step 2: Convert to fraction form
    16,453/22,705.68 = 9,001/x
  3. Step 3: Cross multiply
    16,453x = 22,705.68 × 9,001
  4. Step 4: Simplify right side
    16,453x = 204,373,825.68
  5. Step 5: Solve for x
    x = 204,373,825.68/16,453
  6. Step 6: Final answer
    x = 12,421.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.