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Finding the Fourth Proportional to 27,538.64, 38,004.82 and 15,604.30

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Solution

The fourth proportional to 27,538.64, 38,004.82 and 15,604.30 is: 21,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.64 : 38,004.82 = 15,604.30 : x
  2. Step 2: Convert to fraction form
    27,538.64/38,004.82 = 15,604.30/x
  3. Step 3: Cross multiply
    27,538.64x = 38,004.82 × 15,604.30
  4. Step 4: Simplify right side
    27,538.64x = 593,038,478.70
  5. Step 5: Solve for x
    x = 593,038,478.70/27,538.64
  6. Step 6: Final answer
    x = 21,534.78

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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.