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Finding the Fourth Proportional to 27,634.82, 38,133.92 and 15,534.63

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Solution

The fourth proportional to 27,634.82, 38,133.92 and 15,534.63 is: 21,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.82 : 38,133.92 = 15,534.63 : x
  2. Step 2: Convert to fraction form
    27,634.82/38,133.92 = 15,534.63/x
  3. Step 3: Cross multiply
    27,634.82x = 38,133.92 × 15,534.63
  4. Step 4: Simplify right side
    27,634.82x = 592,396,376.49
  5. Step 5: Solve for x
    x = 592,396,376.49/27,634.82
  6. Step 6: Final answer
    x = 21,436.60

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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.