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Finding the Fourth Proportional to 27,903.42, 41,860.26 and 9,184.50

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Solution

The fourth proportional to 27,903.42, 41,860.26 and 9,184.50 is: 13,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903.42 : 41,860.26 = 9,184.50 : x
  2. Step 2: Convert to fraction form
    27,903.42/41,860.26 = 9,184.50/x
  3. Step 3: Cross multiply
    27,903.42x = 41,860.26 × 9,184.50
  4. Step 4: Simplify right side
    27,903.42x = 384,465,557.97
  5. Step 5: Solve for x
    x = 384,465,557.97/27,903.42
  6. Step 6: Final answer
    x = 13,778.44

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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.