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Finding the Fourth Proportional to 27,887.81, 41,827.37 and 9,167.72

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Solution

The fourth proportional to 27,887.81, 41,827.37 and 9,167.72 is: 13,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.81 : 41,827.37 = 9,167.72 : x
  2. Step 2: Convert to fraction form
    27,887.81/41,827.37 = 9,167.72/x
  3. Step 3: Cross multiply
    27,887.81x = 41,827.37 × 9,167.72
  4. Step 4: Simplify right side
    27,887.81x = 383,461,616.50
  5. Step 5: Solve for x
    x = 383,461,616.50/27,887.81
  6. Step 6: Final answer
    x = 13,750.15

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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.