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Finding the Fourth Proportional to 16,100.64, 22,218.84 and 9,028.35

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Solution

The fourth proportional to 16,100.64, 22,218.84 and 9,028.35 is: 12,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.64 : 22,218.84 = 9,028.35 : x
  2. Step 2: Convert to fraction form
    16,100.64/22,218.84 = 9,028.35/x
  3. Step 3: Cross multiply
    16,100.64x = 22,218.84 × 9,028.35
  4. Step 4: Simplify right side
    16,100.64x = 200,599,464.11
  5. Step 5: Solve for x
    x = 200,599,464.11/16,100.64
  6. Step 6: Final answer
    x = 12,459.10

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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.