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Finding the Fourth Proportional to 16,102.32, 22,220.92 and 9,028.72

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Solution

The fourth proportional to 16,102.32, 22,220.92 and 9,028.72 is: 12,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.32 : 22,220.92 = 9,028.72 : x
  2. Step 2: Convert to fraction form
    16,102.32/22,220.92 = 9,028.72/x
  3. Step 3: Cross multiply
    16,102.32x = 22,220.92 × 9,028.72
  4. Step 4: Simplify right side
    16,102.32x = 200,626,464.82
  5. Step 5: Solve for x
    x = 200,626,464.82/16,102.32
  6. Step 6: Final answer
    x = 12,459.48

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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.