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Finding the Fourth Proportional to 27,366.16, 37,763.40 and 16,186

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Solution

The fourth proportional to 27,366.16, 37,763.40 and 16,186 is: 22,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,366.16 : 37,763.40 = 16,186 : x
  2. Step 2: Convert to fraction form
    27,366.16/37,763.40 = 16,186/x
  3. Step 3: Cross multiply
    27,366.16x = 37,763.40 × 16,186
  4. Step 4: Simplify right side
    27,366.16x = 611,238,392.40
  5. Step 5: Solve for x
    x = 611,238,392.40/27,366.16
  6. Step 6: Final answer
    x = 22,335.56

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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.