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Finding the Fourth Proportional to 18,105.82, 27,034.88 and 16,219.53

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Solution

The fourth proportional to 18,105.82, 27,034.88 and 16,219.53 is: 24,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.82 : 27,034.88 = 16,219.53 : x
  2. Step 2: Convert to fraction form
    18,105.82/27,034.88 = 16,219.53/x
  3. Step 3: Cross multiply
    18,105.82x = 27,034.88 × 16,219.53
  4. Step 4: Simplify right side
    18,105.82x = 438,492,966.11
  5. Step 5: Solve for x
    x = 438,492,966.11/18,105.82
  6. Step 6: Final answer
    x = 24,218.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.