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Finding the Fourth Proportional to 27,263.88, 40,894.66 and 8,543.50

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Solution

The fourth proportional to 27,263.88, 40,894.66 and 8,543.50 is: 12,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263.88 : 40,894.66 = 8,543.50 : x
  2. Step 2: Convert to fraction form
    27,263.88/40,894.66 = 8,543.50/x
  3. Step 3: Cross multiply
    27,263.88x = 40,894.66 × 8,543.50
  4. Step 4: Simplify right side
    27,263.88x = 349,383,539.15
  5. Step 5: Solve for x
    x = 349,383,539.15/27,263.88
  6. Step 6: Final answer
    x = 12,814.89

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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.