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Finding the Fourth Proportional to 27,504.71, 41,256.74 and 8,784.50

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Solution

The fourth proportional to 27,504.71, 41,256.74 and 8,784.50 is: 13,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.71 : 41,256.74 = 8,784.50 : x
  2. Step 2: Convert to fraction form
    27,504.71/41,256.74 = 8,784.50/x
  3. Step 3: Cross multiply
    27,504.71x = 41,256.74 × 8,784.50
  4. Step 4: Simplify right side
    27,504.71x = 362,419,880.28
  5. Step 5: Solve for x
    x = 362,419,880.28/27,504.71
  6. Step 6: Final answer
    x = 13,176.65

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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.