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Finding the Fourth Proportional to 16,202.12, 22,360.20 and 9,129.20

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Solution

The fourth proportional to 16,202.12, 22,360.20 and 9,129.20 is: 12,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.12 : 22,360.20 = 9,129.20 : x
  2. Step 2: Convert to fraction form
    16,202.12/22,360.20 = 9,129.20/x
  3. Step 3: Cross multiply
    16,202.12x = 22,360.20 × 9,129.20
  4. Step 4: Simplify right side
    16,202.12x = 204,130,737.84
  5. Step 5: Solve for x
    x = 204,130,737.84/16,202.12
  6. Step 6: Final answer
    x = 12,599.01

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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.