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Finding the Fourth Proportional to 27,314.25, 40,977.86 and 8,846.25

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Solution

The fourth proportional to 27,314.25, 40,977.86 and 8,846.25 is: 13,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.25 : 40,977.86 = 8,846.25 : x
  2. Step 2: Convert to fraction form
    27,314.25/40,977.86 = 8,846.25/x
  3. Step 3: Cross multiply
    27,314.25x = 40,977.86 × 8,846.25
  4. Step 4: Simplify right side
    27,314.25x = 362,500,349.79
  5. Step 5: Solve for x
    x = 362,500,349.79/27,314.25
  6. Step 6: Final answer
    x = 13,271.47

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Why These Related Problems?

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