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Finding the Fourth Proportional to 27,760.40, 38,309.04 and 15,185

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Solution

The fourth proportional to 27,760.40, 38,309.04 and 15,185 is: 20,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.40 : 38,309.04 = 15,185 : x
  2. Step 2: Convert to fraction form
    27,760.40/38,309.04 = 15,185/x
  3. Step 3: Cross multiply
    27,760.40x = 38,309.04 × 15,185
  4. Step 4: Simplify right side
    27,760.40x = 581,722,772.40
  5. Step 5: Solve for x
    x = 581,722,772.40/27,760.40
  6. Step 6: Final answer
    x = 20,955.13

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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.