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Finding the Fourth Proportional to 16,197.90, 22,353.86 and 9,028.29

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Solution

The fourth proportional to 16,197.90, 22,353.86 and 9,028.29 is: 12,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.90 : 22,353.86 = 9,028.29 : x
  2. Step 2: Convert to fraction form
    16,197.90/22,353.86 = 9,028.29/x
  3. Step 3: Cross multiply
    16,197.90x = 22,353.86 × 9,028.29
  4. Step 4: Simplify right side
    16,197.90x = 201,817,029.67
  5. Step 5: Solve for x
    x = 201,817,029.67/16,197.90
  6. Step 6: Final answer
    x = 12,459.45

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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.