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Finding the Fourth Proportional to 27,460.86, 41,194.49 and 9,938.94

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Solution

The fourth proportional to 27,460.86, 41,194.49 and 9,938.94 is: 14,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.86 : 41,194.49 = 9,938.94 : x
  2. Step 2: Convert to fraction form
    27,460.86/41,194.49 = 9,938.94/x
  3. Step 3: Cross multiply
    27,460.86x = 41,194.49 × 9,938.94
  4. Step 4: Simplify right side
    27,460.86x = 409,429,564.44
  5. Step 5: Solve for x
    x = 409,429,564.44/27,460.86
  6. Step 6: Final answer
    x = 14,909.57

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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.