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Finding the Fourth Proportional to 27,833.36, 41,751.28 and 9,114.48

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Solution

The fourth proportional to 27,833.36, 41,751.28 and 9,114.48 is: 13,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.36 : 41,751.28 = 9,114.48 : x
  2. Step 2: Convert to fraction form
    27,833.36/41,751.28 = 9,114.48/x
  3. Step 3: Cross multiply
    27,833.36x = 41,751.28 × 9,114.48
  4. Step 4: Simplify right side
    27,833.36x = 380,541,206.53
  5. Step 5: Solve for x
    x = 380,541,206.53/27,833.36
  6. Step 6: Final answer
    x = 13,672.13

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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.