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Finding the Fourth Proportional to 27,747.16, 38,292.48 and 16,423.16

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Solution

The fourth proportional to 27,747.16, 38,292.48 and 16,423.16 is: 22,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747.16 : 38,292.48 = 16,423.16 : x
  2. Step 2: Convert to fraction form
    27,747.16/38,292.48 = 16,423.16/x
  3. Step 3: Cross multiply
    27,747.16x = 38,292.48 × 16,423.16
  4. Step 4: Simplify right side
    27,747.16x = 628,883,334.37
  5. Step 5: Solve for x
    x = 628,883,334.37/27,747.16
  6. Step 6: Final answer
    x = 22,664.78

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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.