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Finding the Fourth Proportional to 18,278.42, 27,416.42 and 7,187

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Solution

The fourth proportional to 18,278.42, 27,416.42 and 7,187 is: 10,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.42 : 27,416.42 = 7,187 : x
  2. Step 2: Convert to fraction form
    18,278.42/27,416.42 = 7,187/x
  3. Step 3: Cross multiply
    18,278.42x = 27,416.42 × 7,187
  4. Step 4: Simplify right side
    18,278.42x = 197,041,810.54
  5. Step 5: Solve for x
    x = 197,041,810.54/18,278.42
  6. Step 6: Final answer
    x = 10,780.02

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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.