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Finding the Fourth Proportional to 18,180.76, 27,290.24 and 16,114

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Solution

The fourth proportional to 18,180.76, 27,290.24 and 16,114 is: 24,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,180.76 : 27,290.24 = 16,114 : x
  2. Step 2: Convert to fraction form
    18,180.76/27,290.24 = 16,114/x
  3. Step 3: Cross multiply
    18,180.76x = 27,290.24 × 16,114
  4. Step 4: Simplify right side
    18,180.76x = 439,754,927.36
  5. Step 5: Solve for x
    x = 439,754,927.36/18,180.76
  6. Step 6: Final answer
    x = 24,187.93

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Why These Related Problems?

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