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Finding the Fourth Proportional to 16,447.56, 22,699.53 and 9,375

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Solution

The fourth proportional to 16,447.56, 22,699.53 and 9,375 is: 12,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.56 : 22,699.53 = 9,375 : x
  2. Step 2: Convert to fraction form
    16,447.56/22,699.53 = 9,375/x
  3. Step 3: Cross multiply
    16,447.56x = 22,699.53 × 9,375
  4. Step 4: Simplify right side
    16,447.56x = 212,808,093.75
  5. Step 5: Solve for x
    x = 212,808,093.75/16,447.56
  6. Step 6: Final answer
    x = 12,938.58

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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.