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Finding the Fourth Proportional to 16,199.59, 22,354.50 and 9,029.27

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Solution

The fourth proportional to 16,199.59, 22,354.50 and 9,029.27 is: 12,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.59 : 22,354.50 = 9,029.27 : x
  2. Step 2: Convert to fraction form
    16,199.59/22,354.50 = 9,029.27/x
  3. Step 3: Cross multiply
    16,199.59x = 22,354.50 × 9,029.27
  4. Step 4: Simplify right side
    16,199.59x = 201,844,771.34
  5. Step 5: Solve for x
    x = 201,844,771.34/16,199.59
  6. Step 6: Final answer
    x = 12,459.87

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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.