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Finding the Fourth Proportional to 18,316.96, 25,271.22 and 11,149.36

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Solution

The fourth proportional to 18,316.96, 25,271.22 and 11,149.36 is: 15,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316.96 : 25,271.22 = 11,149.36 : x
  2. Step 2: Convert to fraction form
    18,316.96/25,271.22 = 11,149.36/x
  3. Step 3: Cross multiply
    18,316.96x = 25,271.22 × 11,149.36
  4. Step 4: Simplify right side
    18,316.96x = 281,757,929.42
  5. Step 5: Solve for x
    x = 281,757,929.42/18,316.96
  6. Step 6: Final answer
    x = 15,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.