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Finding the Fourth Proportional to 27,728.27, 41,587.85 and 9,955.25

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Solution

The fourth proportional to 27,728.27, 41,587.85 and 9,955.25 is: 14,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.27 : 41,587.85 = 9,955.25 : x
  2. Step 2: Convert to fraction form
    27,728.27/41,587.85 = 9,955.25/x
  3. Step 3: Cross multiply
    27,728.27x = 41,587.85 × 9,955.25
  4. Step 4: Simplify right side
    27,728.27x = 414,017,572.57
  5. Step 5: Solve for x
    x = 414,017,572.57/27,728.27
  6. Step 6: Final answer
    x = 14,931.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.