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Finding the Fourth Proportional to 16,207.75, 22,357.62 and 9,492.10

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Solution

The fourth proportional to 16,207.75, 22,357.62 and 9,492.10 is: 13,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.75 : 22,357.62 = 9,492.10 : x
  2. Step 2: Convert to fraction form
    16,207.75/22,357.62 = 9,492.10/x
  3. Step 3: Cross multiply
    16,207.75x = 22,357.62 × 9,492.10
  4. Step 4: Simplify right side
    16,207.75x = 212,220,764.80
  5. Step 5: Solve for x
    x = 212,220,764.80/16,207.75
  6. Step 6: Final answer
    x = 13,093.78

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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.