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Finding the Fourth Proportional to 27,369.16, 37,767.54 and 16,189

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Solution

The fourth proportional to 27,369.16, 37,767.54 and 16,189 is: 22,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.16 : 37,767.54 = 16,189 : x
  2. Step 2: Convert to fraction form
    27,369.16/37,767.54 = 16,189/x
  3. Step 3: Cross multiply
    27,369.16x = 37,767.54 × 16,189
  4. Step 4: Simplify right side
    27,369.16x = 611,418,705.06
  5. Step 5: Solve for x
    x = 611,418,705.06/27,369.16
  6. Step 6: Final answer
    x = 22,339.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.