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Finding the Fourth Proportional to 27,284.48, 40,927.20 and 9,766.88

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Solution

The fourth proportional to 27,284.48, 40,927.20 and 9,766.88 is: 14,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.48 : 40,927.20 = 9,766.88 : x
  2. Step 2: Convert to fraction form
    27,284.48/40,927.20 = 9,766.88/x
  3. Step 3: Cross multiply
    27,284.48x = 40,927.20 × 9,766.88
  4. Step 4: Simplify right side
    27,284.48x = 399,731,051.14
  5. Step 5: Solve for x
    x = 399,731,051.14/27,284.48
  6. Step 6: Final answer
    x = 14,650.49

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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.