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Finding the Fourth Proportional to 12,157.66, 18,240.27 and 10,322.20

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Solution

The fourth proportional to 12,157.66, 18,240.27 and 10,322.20 is: 15,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.66 : 18,240.27 = 10,322.20 : x
  2. Step 2: Convert to fraction form
    12,157.66/18,240.27 = 10,322.20/x
  3. Step 3: Cross multiply
    12,157.66x = 18,240.27 × 10,322.20
  4. Step 4: Simplify right side
    12,157.66x = 188,279,714.99
  5. Step 5: Solve for x
    x = 188,279,714.99/12,157.66
  6. Step 6: Final answer
    x = 15,486.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.