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Finding the Fourth Proportional to 16,241.05, 22,416.36 and 9,526.96

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Solution

The fourth proportional to 16,241.05, 22,416.36 and 9,526.96 is: 13,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.05 : 22,416.36 = 9,526.96 : x
  2. Step 2: Convert to fraction form
    16,241.05/22,416.36 = 9,526.96/x
  3. Step 3: Cross multiply
    16,241.05x = 22,416.36 × 9,526.96
  4. Step 4: Simplify right side
    16,241.05x = 213,559,652.98
  5. Step 5: Solve for x
    x = 213,559,652.98/16,241.05
  6. Step 6: Final answer
    x = 13,149.38

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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.