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Finding the Fourth Proportional to 27,886.99, 41,835.93 and 8,165.87

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Solution

The fourth proportional to 27,886.99, 41,835.93 and 8,165.87 is: 12,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.99 : 41,835.93 = 8,165.87 : x
  2. Step 2: Convert to fraction form
    27,886.99/41,835.93 = 8,165.87/x
  3. Step 3: Cross multiply
    27,886.99x = 41,835.93 × 8,165.87
  4. Step 4: Simplify right side
    27,886.99x = 341,626,724.88
  5. Step 5: Solve for x
    x = 341,626,724.88/27,886.99
  6. Step 6: Final answer
    x = 12,250.40

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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.