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Finding the Fourth Proportional to 16,274.79, 22,459.82 and 9,200.79

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Solution

The fourth proportional to 16,274.79, 22,459.82 and 9,200.79 is: 12,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.79 : 22,459.82 = 9,200.79 : x
  2. Step 2: Convert to fraction form
    16,274.79/22,459.82 = 9,200.79/x
  3. Step 3: Cross multiply
    16,274.79x = 22,459.82 × 9,200.79
  4. Step 4: Simplify right side
    16,274.79x = 206,648,041.25
  5. Step 5: Solve for x
    x = 206,648,041.25/16,274.79
  6. Step 6: Final answer
    x = 12,697.43

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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.