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Finding the Fourth Proportional to 18,106.32, 24,987.36 and 11,815.20

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Solution

The fourth proportional to 18,106.32, 24,987.36 and 11,815.20 is: 16,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.32 : 24,987.36 = 11,815.20 : x
  2. Step 2: Convert to fraction form
    18,106.32/24,987.36 = 11,815.20/x
  3. Step 3: Cross multiply
    18,106.32x = 24,987.36 × 11,815.20
  4. Step 4: Simplify right side
    18,106.32x = 295,230,655.87
  5. Step 5: Solve for x
    x = 295,230,655.87/18,106.32
  6. Step 6: Final answer
    x = 16,305.39

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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.