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Finding the Fourth Proportional to 16,918, 23,346.84 and 9,466

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Solution

The fourth proportional to 16,918, 23,346.84 and 9,466 is: 13,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,918 : 23,346.84 = 9,466 : x
  2. Step 2: Convert to fraction form
    16,918/23,346.84 = 9,466/x
  3. Step 3: Cross multiply
    16,918x = 23,346.84 × 9,466
  4. Step 4: Simplify right side
    16,918x = 221,001,187.44
  5. Step 5: Solve for x
    x = 221,001,187.44/16,918
  6. Step 6: Final answer
    x = 13,063.08

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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.