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Finding the Fourth Proportional to 27,755.40, 38,302.85 and 15,656.46

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Solution

The fourth proportional to 27,755.40, 38,302.85 and 15,656.46 is: 21,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.40 : 38,302.85 = 15,656.46 : x
  2. Step 2: Convert to fraction form
    27,755.40/38,302.85 = 15,656.46/x
  3. Step 3: Cross multiply
    27,755.40x = 38,302.85 × 15,656.46
  4. Step 4: Simplify right side
    27,755.40x = 599,687,078.05
  5. Step 5: Solve for x
    x = 599,687,078.05/27,755.40
  6. Step 6: Final answer
    x = 21,606.14

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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.