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Finding the Fourth Proportional to 22,138.10, 30,548.04 and 13,183.82

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Solution

The fourth proportional to 22,138.10, 30,548.04 and 13,183.82 is: 18,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.10 : 30,548.04 = 13,183.82 : x
  2. Step 2: Convert to fraction form
    22,138.10/30,548.04 = 13,183.82/x
  3. Step 3: Cross multiply
    22,138.10x = 30,548.04 × 13,183.82
  4. Step 4: Simplify right side
    22,138.10x = 402,739,860.71
  5. Step 5: Solve for x
    x = 402,739,860.71/22,138.10
  6. Step 6: Final answer
    x = 18,192.16

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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.