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Finding the Fourth Proportional to 27,984.32, 41,976.48 and 9,259.32

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Solution

The fourth proportional to 27,984.32, 41,976.48 and 9,259.32 is: 13,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.32 : 41,976.48 = 9,259.32 : x
  2. Step 2: Convert to fraction form
    27,984.32/41,976.48 = 9,259.32/x
  3. Step 3: Cross multiply
    27,984.32x = 41,976.48 × 9,259.32
  4. Step 4: Simplify right side
    27,984.32x = 388,673,660.79
  5. Step 5: Solve for x
    x = 388,673,660.79/27,984.32
  6. Step 6: Final answer
    x = 13,888.98

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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.