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Finding the Fourth Proportional to 16,998, 23,459.44 and 9,546

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Solution

The fourth proportional to 16,998, 23,459.44 and 9,546 is: 13,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,998 : 23,459.44 = 9,546 : x
  2. Step 2: Convert to fraction form
    16,998/23,459.44 = 9,546/x
  3. Step 3: Cross multiply
    16,998x = 23,459.44 × 9,546
  4. Step 4: Simplify right side
    16,998x = 223,943,814.24
  5. Step 5: Solve for x
    x = 223,943,814.24/16,998
  6. Step 6: Final answer
    x = 13,174.72

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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.